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| versions
list | update_date
timestamp[s] | authors_parsed
sequence |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0706.2314 | Jose Antonio Galvez | J. M. Espinar, J. A. Galvez, P. Mira | Hypersurfaces in H^{n+1} and conformally invariant equations: the
generalized Christoffel and Nirenberg problems | 37 pages | null | null | null | math.DG math.AP | null | Our first objective in this paper is to give a natural formulation of the
Christoffel problem for hypersurfaces in $H^{n+1}$, by means of the hyperbolic
Gauss map and the notion of hyperbolic curvature radii for hypersurfaces. Our
second objective is to provide an explicit equivalence of this Christoffel
problem with the famous problem of prescribing scalar curvature on $\S^n$ for
conformal metrics, posed by Nirenberg and Kazdan-Warner. This construction lets
us translate into the hyperbolic setting the known results for the scalar
curvature problem, and also provides a hypersurface theory interpretation of
such an intrinsic problem from conformal geometry. Our third objective is to
place the above result into a more general framework. Specifically, we will
show how the problem of prescribing the hyperbolic Gauss map and a given
function of the hyperbolic curvature radii in $H^{n+1}$ is strongly related to
some important problems on conformally invariant PDEs in terms of the Schouten
tensor. This provides a bridge between the theory of conformal metrics on
$\S^n$ and the theory of hypersurfaces with prescribed hyperbolic Gauss map in
$\H^{n+1}$. The fourth objective is to use the above correspondence to prove
that for a wide family of Weingarten functionals $W(\k_1,..., \k_n)$, the only
compact immersed hypersurfaces in $H^{n+1}$ on which $W$ is constant are round
spheres.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:16:52 GMT"
}
] | 2007-06-18T00:00:00 | [
[
"Espinar",
"J. M.",
""
],
[
"Galvez",
"J. A.",
""
],
[
"Mira",
"P.",
""
]
] |
0706.2315 | Maciej Misiorny | Maciej Misiorny and J\'ozef Barnas | Spin Polarized Transport Through a Single-Molecule Magnet:
Current-Induced Magnetic Switching | 5 pages with 4 EPS figures; version as accepted for publication in
Phys. Rev. B (more general model introduced) | Phys. Rev. B 76, 54448 (2007) | 10.1103/PhysRevB.76.054448 | null | cond-mat.mes-hall | null | Magnetic switching of a single-molecule magnet (SMM) due to spin-polarized
current is investigated theoretically. The charge transfer between the
electrodes takes place via the lowest unoccupied molecular orbital (LUMO) of
the SMM. Generally, the double occupancy of the LUMO level, and a finite
on-site Coulomb repulsion, is taken into account. Owing to the exchange
interaction between electrons in the LUMO level and the SMM's spin, the latter
can be reversed. The perturbation approach (Fermi golden rule) is applied to
calculate current-voltage characteristics. The influence of Coulomb
interactions on the switching process is also analyzed.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:19:58 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Aug 2007 18:39:31 GMT"
}
] | 2007-08-29T00:00:00 | [
[
"Misiorny",
"Maciej",
""
],
[
"Barnas",
"Józef",
""
]
] |
0706.2316 | John Abbott | John Abbott, Claudia Fassino, Maria-Laura Torrente | Stable Border Bases for Ideals of Points | This is an update version of "Notes on stable Border Bases" and it is
submitted to JSC. 16 pages, 0 figures | Journal of Symbolic Computation, 43, 2008, 883--894 | null | null | math.AC math.NA | null | Let $X$ be a set of points whose coordinates are known with limited accuracy;
our aim is to give a characterization of the vanishing ideal $I(X)$ independent
of the data uncertainty. We present a method to compute a polynomial basis $B$
of $I(X)$ which exhibits structural stability, that is, if $\widetilde X$ is
any set of points differing only slightly from $X$, there exists a polynomial
set $\widetilde B$ structurally similar to $B$, which is a basis of the
perturbed ideal $ I(\widetilde X)$.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:28:18 GMT"
},
{
"version": "v2",
"created": "Tue, 16 Oct 2007 10:11:55 GMT"
}
] | 2009-03-18T00:00:00 | [
[
"Abbott",
"John",
""
],
[
"Fassino",
"Claudia",
""
],
[
"Torrente",
"Maria-Laura",
""
]
] |
0706.2317 | Pamela Morehouse | CLEO Collaboration: D. Cronin-Hennessy, et al | Study of Di-Pion Transitions Among Upsilon(3S), Upsilon(2S), and
Upsilon(1S) States | 24 pages postscript,also available through
http://www.lns.cornell.edu/public/CLNS/2007/, Accepted by PRD, one new table,
one reworked figure | Phys.Rev.D76:072001,2007 | 10.1103/PhysRevD.76.072001 | CLNS 07/1997, CLEO 07-6 | hep-ex | null | We present measurements of decay matrix elements for hadronic transitions of
the form Upsilon(nS) -> pi pi Upsilon(mS) where (n, m) = (3, 1), (2, 1), and
(3, 2). We reconstruct charged and neutral pion modes with the final state
Upsilon decaying to either mu+mu- or e+e-. Dalitz plot distributions for the
twelve decay modes are fit individually as well as jointly assuming isospin
symmetry, thereby measuring the matrix elements of the decay amplitude. We
observe and account for the anomaly previously noted in the di-pion invariant
mass distribution for the Upsilon(3S) -> pi pi Upsilon(1S) transition and
obtain good descriptions of the dynamics of the decay using the most general
decay amplitude allowed by partial conservation of the axial-vector current
(PCAC) considerations. The fits further indicate that the Upsilon(2S) -> pi pi
Upsilon(1S) and Upsilon(3S) -> pi pi Upsilon(2S) transitions also show the
presence of terms in the decay amplitude that were previously ignored, although
at a relatively suppressed level.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:27:51 GMT"
},
{
"version": "v2",
"created": "Tue, 14 Aug 2007 15:47:13 GMT"
}
] | 2010-04-08T00:00:00 | [
[
"CLEO Collaboration",
"",
""
],
[
"Cronin-Hennessy",
"D.",
""
]
] |
0706.2318 | Carlos Kozameh | Carlos Kozameh, E.T. Newman, and Gilberto Silva-Ortigoza | The Geometry of Regular Shear-Free Null Geodesic Congruences, CR
functions and their Application to the Flat-Space Maxwell Equations | 25 pages | Class.Quant.Grav.24:5479-5494,2007 | 10.1088/0264-9381/24/22/012 | null | gr-qc | null | We describe here what appears to be a new structure that is hidden in all
asymptotically vanishing Maxwell fields possessing a non-vanishing total
charge. Though we are dealing with real Maxwell fields on real Minkowski space
nevertheless, directly from the asymptotic field one can extract a complex
analytic world-line defined in complex Minkowski space that gives a unified
Lorentz invariant meaning to both the electric and magnetic dipole moments. In
some sense the world-line defines a `complex center of charge' around which
both electric and magnetic dipole moments vanish.
The question of how and where does this complex world-line arise is one of
the two main subjects of this work. The other subject concerns what is known in
the mathematical literature as a CR structure. In GR, CR structures naturally
appear in the physical context of shear-free (or asymptotically shear-free)
null geodesic congruences in space-time. For us, the CR structure is associated
with the embedding of Penrose's real three-dimensional null infinity, I^+, as a
surface in a two complex dimensional space, C^2. It is this embedding, via a
complex function, (a CR function), that is our other area of interest.
Specifically we are interested in the `decomposition' of the CR function into
its real and imaginary parts and the physical information contained in this
decomposition.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:29:58 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kozameh",
"Carlos",
""
],
[
"Newman",
"E. T.",
""
],
[
"Silva-Ortigoza",
"Gilberto",
""
]
] |
0706.2319 | Irene Brito | E.G.L.R. Vaz and Irene Brito | Analysing the elasticity difference tensor of general relativity | 17 pages | Gen.Rel.Grav.40:1947-1966,2008 | 10.1007/s10714-008-0615-7 | null | gr-qc | null | The elasticity difference tensor, used in [1] to describe elasticity
properties of a continuous medium filling a space-time, is here analysed from
the point of view of the space-time connection. Principal directions associated
with this tensor are compared with eigendirections of the material metric.
Examples concerning spherically symmetric and axially symmetric space-times are
then presented.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:35:51 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Vaz",
"E. G. L. R.",
""
],
[
"Brito",
"Irene",
""
]
] |
0706.2320 | Massimo Giulietti | Massimo Giulietti and Gabor Korchmaros | On large automorphism groups of algebraic curves in positive
characteristic | null | null | null | null | math.AG | null | In his investigation on large $K$-automorphism groups of an algebraic curve,
Stichtenoth obtained an upper bound on the order of the first ramification
group of an algebraic curve $\cX$ defined over an algebraically closed field of
characteristic $p$. Stichtenoth's bound has raised the problem of classifying
all $\K$-automorphism groups $G$ of $\cX$ with the following property: There is
a point $P\in \cX$ for which \begin{equation} |G_P^{(1)}|>\frac{p}{p-1}g.
\end{equation} Such a classification is obtained here by proving Theorem 1.3
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:38:00 GMT"
}
] | 2007-06-18T00:00:00 | [
[
"Giulietti",
"Massimo",
""
],
[
"Korchmaros",
"Gabor",
""
]
] |
0706.2321 | Nathan Ng | Micah B. Milinovich, Nathan Ng | Lower bounds for moments of zeta prime rho | 7 pages | null | null | null | math.NT | null | Assuming the Riemann Hypothesis, we establish lower bounds for moments of the
derivative of the Riemann zeta-function averaged over the non-trivial zeros of
$\zeta(s)$. Our proof is based upon a recent method of Rudnick and
Soundararajan that provides analogous bounds for moments of $L$-functions at
the central point, averaged over families.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:44:49 GMT"
}
] | 2007-06-18T00:00:00 | [
[
"Milinovich",
"Micah B.",
""
],
[
"Ng",
"Nathan",
""
]
] |
0706.2322 | Alexander G. Ramm | A.G.Ramm | Materials with a desired refraction coefficient can be made by embedding
small particles | 35J05, 35J10, 70F10, 74J25, 81U40, 81V05 | null | 10.1016/j.physleta.2007.06.069 | null | math-ph math.MP | null | A method is proposed to create materials with a desired refraction
coefficient, possibly negative one. The method consists of embedding into a
given material small particles. Given $n_0(x)$, the refraction coefficient of
the original material in a bounded domain $D \subset \R^3$, and a desired
refraction coefficient $n(x)$, one calculates the number $N(x)$ of small
particles, to be embedded in $D$ around a point $x \in D$ per unit volume of
$D$, in order that the resulting new material has refraction coefficient
$n(x)$.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:46:25 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Ramm",
"A. G.",
""
]
] |
0706.2323 | Emma Rigby | E. E. Rigby, I. A. Snellen and P. N. Best | A sample of mJy radio sources at 1.4 GHz in the Lynx and Hercules fields
- I. Radio imaging, multicolour photometry and spectroscopy | Accepted by MNRAS; 24 pages, 7 figures. A full version, including
figures is available at http://www.roe.ac.uk/~eer/eer_paper.ps | null | 10.1111/j.1365-2966.2007.12112.x | null | astro-ph | null | With the goal of identifying high redshift radio galaxies with FRI
classification, here are presented high resolution, wide-field radio
observations, near infra-red and optical imaging and multi-object spectroscopy
of two fields of the Leiden-Berkeley Deep Survey. These fields, Hercules.1 and
Lynx.2, contain a complete sample of 81 radio sources with S(1.4 GHz) > 0.5 mJy
within 0.6 square degrees. This sample will form the basis for a study of the
population and cosmic evolution of high redshift, low power, FRI radio sources
which will be presented in Paper II. Currently, the host galaxy identification
fraction is 86% with 11 sources remaining unidentified at a level of r > 25.2
mag (Hercules; 4 sources) or r > 24.4 mag (Lynx; 7 sources) or K > 20 mag.
Spectroscopic redshifts have been determined for 49% of the sample and
photometric redshift estimates are presented for the remainder of the sample.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:13:23 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Rigby",
"E. E.",
""
],
[
"Snellen",
"I. A.",
""
],
[
"Best",
"P. N.",
""
]
] |
0706.2324 | Shrawan Kumar | Shrawan Kumar and John R. Stembridge | Special isogenies and tensor product multiplicities | 11 pages | null | null | null | math.RT math.AG | null | We show that any bijection between two root systems that preserves angles
(but not necessarily lengths) gives rise to inequalities relating tensor
product multiplicities for the corresponding complex semisimple Lie groups (or
Lie algebras). We explain the inequalities in two ways: combinatorially, using
Littelmann's Path Model, and geometrically, using isogenies between algebaric
groups defined over an algebraically closed field of positive characteristic.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 15:59:21 GMT"
}
] | 2007-06-18T00:00:00 | [
[
"Kumar",
"Shrawan",
""
],
[
"Stembridge",
"John R.",
""
]
] |
0706.2325 | Jonathan Irwin | Jonathan Irwin, Suzanne Aigrain, Simon Hodgkin, Keivan G. Stassun,
Leslie Hebb, Mike Irwin, Estelle Moraux, Jerome Bouvier, Aude Alapini,
Richard Alexander, D.M. Bramich, Jon Holtzman, Eduardo L. Martin, Mark J.
McCaughrean, Frederic Pont, P.E. Verrier, Maria Rosa Zapatero Osorio | The Monitor project: JW 380 -- a 0.26, 0.15 Msol pre main sequence
eclipsing binary in the Orion Nebula Cluster | 11 pages, 9 figures, accepted for publication in MNRAS | null | 10.1111/j.1365-2966.2007.12117.x | null | astro-ph | null | We report the discovery of a low-mass (0.26 +/- 0.02, 0.15 +/- 0.01 Msol)
pre-main-sequence eclipsing binary with a 5.3 day orbital period. JW 380 was
detected as part of a high-cadence time-resolved photometric survey (the
Monitor project) using the 2.5m Isaac Newton Telescope and Wide Field Camera
for a survey of a single field in the Orion Nebula Cluster (ONC) region in V
and i bands. The star is assigned a 99 per cent membership probability from
proper motion measurements, and radial velocity observations indicate a
systemic velocity within 1 sigma of that of the ONC. Modelling of the combined
light and radial velocity curves of the system gave stellar radii of 1.19 +0.04
-0.18 Rsol and 0.90 +0.17 -0.03 Rsol for the primary and secondary, with a
significant third light contribution which is also visible as a third peak in
the cross-correlation functions used to derive radial velocities. The masses
and radii appear to be consistent with stellar models for 2-3 Myr age from
several authors, within the present observational errors. These observations
probe an important region of mass-radius parameter space, where there are
currently only a handful of known pre-main-sequence eclipsing binary systems
with precise measurements available in the literature.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:05:23 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Irwin",
"Jonathan",
""
],
[
"Aigrain",
"Suzanne",
""
],
[
"Hodgkin",
"Simon",
""
],
[
"Stassun",
"Keivan G.",
""
],
[
"Hebb",
"Leslie",
""
],
[
"Irwin",
"Mike",
""
],
[
"Moraux",
"Estelle",
""
],
[
"Bouvier",
"Jerome",
""
],
[
"Alapini",
"Aude",
""
],
[
"Alexander",
"Richard",
""
],
[
"Bramich",
"D. M.",
""
],
[
"Holtzman",
"Jon",
""
],
[
"Martin",
"Eduardo L.",
""
],
[
"McCaughrean",
"Mark J.",
""
],
[
"Pont",
"Frederic",
""
],
[
"Verrier",
"P. E.",
""
],
[
"Osorio",
"Maria Rosa Zapatero",
""
]
] |
0706.2326 | N. W. Evans | V. Belokurov (1), N.W.Evans (1), A.Moiseev (2), L.J. King (1), P.C.
Hewett (1), M. Pettini (1), L. Wyrzykowski (1,4), R.G. McMahon (1), M.C.
Smith (1), G. Gilmore (1), S.F. Sanchez (3), A. Udalski (4), S. Koposov (5),
D.B. Zucker (1), C.J. Walcher (6) ((1) Cambridge, (2) SAO, (3) Calar Alto,
(4) Warsaw, (5) MPIA, (6) Marseille) | The Cosmic Horseshoe: Discovery of an Einstein Ring around a Giant
Luminous Red Galaxy | ApJ (Letters), in press | null | 10.1086/524948 | null | astro-ph | null | We report the discovery of an almost complete Einstein ring of diameter 10"
in Sloan Digital Sky Survey (SDSS) Data Release 5 (DR5). Spectroscopic data
from the 6m telescope of the Special Astrophysical Observatory reveals that the
deflecting galaxy has a line-of-sight velocity dispersion in excess of 400 km/s
and a redshift of 0.444, whilst the source is a star-forming galaxy with a
redshift of 2.379. From its color and luminosity, we conclude that the lens is
an exceptionally massive Luminous Red Galaxy (LRG) with a mass within the
Einstein radius of 5 x 10^12 solar masses. This remarkable system provides a
laboratory for probing the dark matter distribution in LRGs at distances out to
3 effective radii, and studying the properties of high redshift star-forming
galaxies.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:06:28 GMT"
},
{
"version": "v2",
"created": "Tue, 30 Oct 2007 12:36:12 GMT"
},
{
"version": "v3",
"created": "Thu, 1 Nov 2007 13:46:42 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Belokurov",
"V.",
""
],
[
"Evans",
"N. W.",
""
],
[
"Moiseev",
"A.",
""
],
[
"King",
"L. J.",
""
],
[
"Hewett",
"P. C.",
""
],
[
"Pettini",
"M.",
""
],
[
"Wyrzykowski",
"L.",
""
],
[
"McMahon",
"R. G.",
""
],
[
"Smith",
"M. C.",
""
],
[
"Gilmore",
"G.",
""
],
[
"Sanchez",
"S. F.",
""
],
[
"Udalski",
"A.",
""
],
[
"Koposov",
"S.",
""
],
[
"Zucker",
"D. B.",
""
],
[
"Walcher",
"C. J.",
""
]
] |
0706.2327 | Shuai Chen | Shuai Chen, Yu-Ao Chen, Bo Zhao, Zhen-Sheng Yuan, Joerg Schmiedmayer,
and Jian-Wei Pan | A Robust Atom-Photon Entanglement Source for Quantum Repeaters | 4 pages, 4 figures | Phys. Rev. Lett. 99, 180505 (2007) | 10.1103/PhysRevLett.99.180505 | null | quant-ph | null | We demonstrate a novel way to efficiently and very robust create an
entanglement between an atomic and a photonic qubit. A single laser beam is
used to excite one atomic ensemble and two different spatial modes of scattered
Raman fields are collected to generate the atom-photon entanglement. With the
help of build-in quantum memory, the entanglement still exists after 20.5
$\mu$s storage time which is further proved by the violation of CHSH type
Bell's inequality. Our entanglement procedure is the building block for a novel
robust quantum repeater architecture [Zhao et al, Phys. Rev. Lett. 98, 240502
(2007)]. Our approach can be easily extended to generate high dimensional
atom-photon entanglements.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:10:34 GMT"
}
] | 2007-11-20T00:00:00 | [
[
"Chen",
"Shuai",
""
],
[
"Chen",
"Yu-Ao",
""
],
[
"Zhao",
"Bo",
""
],
[
"Yuan",
"Zhen-Sheng",
""
],
[
"Schmiedmayer",
"Joerg",
""
],
[
"Pan",
"Jian-Wei",
""
]
] |
0706.2328 | Ophir Flomenbom | Ophir Flomenbom, Robert J. Silbey | Unique mechanisms from finite two-state trajectories | null | E. Barkai, F. L. H. Brown, M. Orrit & H. Yang Eds. THEORY AND
EVALUATION OF SINGLE-MOLECULE SIGNALS, (October, 2008) | null | null | q-bio.QM cond-mat.other q-bio.OT | null | Single molecule data made of on and off events are ubiquitous. Famous
examples include enzyme turnover, probed via fluorescence, and opening and
closing of ion-channel, probed via the flux of ions. The data reflects the
dynamics in the underlying multi-substate on-off kinetic scheme (KS) of the
process, but the determination of the underlying KS is difficult, and sometimes
even impossible, due to the loss of information in the mapping of the
mutli-dimensional KS onto two dimensions. A way to deal with this problem
considers canonical (unique) forms. (Unique canonical form is constructed from
an infinitely long trajectory, but many KSs.) Here we introduce canonical forms
of reduced dimensions that can handle any KS (i.e. also KSs with symmetry and
irreversible transitions). We give the mapping of KSs into reduced dimensions
forms, which is based on topology of KSs, and the tools for extracting the
reduced dimensions form from finite data. The canonical forms of reduced
dimensions constitute a powerful tool in discriminating between KSs.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:17:11 GMT"
},
{
"version": "v2",
"created": "Fri, 31 Aug 2007 22:27:44 GMT"
}
] | 2010-08-16T00:00:00 | [
[
"Flomenbom",
"Ophir",
""
],
[
"Silbey",
"Robert J.",
""
]
] |
0706.2329 | Matthew Headrick | Matthew Headrick and Toby Wiseman | Numerical Kaehler-Ricci soliton on the second del Pezzo | 6 pages, 4 figures | null | null | SU-ITP-07/07, Imperial/TP/07/TW/02 | math.DG gr-qc hep-th | null | The second del Pezzo surface is known by work of Tian-Zhu and Wang-Zhu to
admit a unique Kaehler-Ricci soliton. Applying a method described in
hep-th/0703057, we use Ricci flow to numerically compute that soliton metric.
We numerically compute the value of its Perelman entropy (or Gaussian density).
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:19:34 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Headrick",
"Matthew",
""
],
[
"Wiseman",
"Toby",
""
]
] |
0706.2330 | Alberto Martinez | A. Martinez Torres, K. P. Khemchandani, E. Oset | Three body resonances in two meson-one baryon systems | corrected version, new channels evaluated, new references added | Phys.Rev.C77:042203,2008 | 10.1103/PhysRevC.77.042203 | null | nucl-th | null | We report four $\Sigma$'s and three $\Lambda$'s, in the 1500 - 1800 MeV
region, as two meson - one baryon S-wave $(1/2)^+$ resonances. We solve Faddeev
equations in the coupled channel approach. The invariant mass of one of the
meson-baryon pairs and that of the three particles have been varied and peaks
in the squared three body $T$-matrix have been found very close to the existing
$S$ = -1, $J^P= 1/2^+$ low lying baryon resonances. The input two-body
$t$-matrices for meson-meson and meson-baryon interaction have been calculated
by solving the Bethe-Salpeter equation with the potentials obtained in the
chiral unitary approach.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:41:29 GMT"
},
{
"version": "v2",
"created": "Thu, 3 Apr 2008 18:29:44 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Torres",
"A. Martinez",
""
],
[
"Khemchandani",
"K. P.",
""
],
[
"Oset",
"E.",
""
]
] |
0706.2331 | Erhan Bayraktar | Erhan Bayraktar, Hao Xing | Pricing American Options for Jump Diffusions by Iterating Optimal
Stopping Problems for Diffusions | Key Words: Pricing derivatives, American options, jump diffusions,
barrier options, finite difference methods | null | null | null | cs.CE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We approximate the price of the American put for jump diffusions by a
sequence of functions, which are computed iteratively. This sequence converges
to the price function uniformly and exponentially fast. Each element of the
approximating sequence solves an optimal stopping problem for geometric
Brownian motion, and can be numerically computed using the classical finite
difference methods. We prove the convergence of this numerical scheme and
present examples to illustrate its performance.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:43:14 GMT"
},
{
"version": "v2",
"created": "Sat, 16 Jun 2007 15:40:41 GMT"
},
{
"version": "v3",
"created": "Sat, 14 Jun 2008 03:46:38 GMT"
},
{
"version": "v4",
"created": "Thu, 31 Jul 2008 03:43:12 GMT"
},
{
"version": "v5",
"created": "Wed, 3 Dec 2008 16:56:17 GMT"
}
] | 2008-12-03T00:00:00 | [
[
"Bayraktar",
"Erhan",
""
],
[
"Xing",
"Hao",
""
]
] |
0706.2332 | Marco Picariello | Marco Picariello, Bhag C. Chauhan, Joao Pulido, Emilio Torrente-Lujan | Predictions from non trivial Quark-Lepton complementarity | 15 pages, 5 figures, ws-ijmpa class included, Proceedings of the CTP
Symposium on Sypersymmetry at LHC | Int.J.Mod.Phys.A22:5860-5874,2007 | 10.1142/S0217751X07039080 | null | hep-ph | null | The complementarity between the quark and lepton mixing matrices is shown to
provide robust predictions. We obtain these predictions by first showing that
the matrix V_M, product of the quark (CKM) and lepton (PMNS) mixing matrices,
may have a zero (1,3) entry which is favored by experimental data.
We obtain that any theoretical model with a vanishing (1,3) entry of V_M that
is in agreement with quark data, solar, and atmospheric mixing angle leads to
$\theta_{13}^{PMNS}=(9{^{+1}_{-2}})^\circ$. This value is consistent with the
present 90% CL experimental upper limit. We also investigate the prediction on
the lepton phases. We show that the actual evidence, under the only assumption
that the correlation matrix V_M product of CKM and PMNS has a zero in the entry
(1,3), gives us a prediction for the three CP-violating invariants J, S_1, and
S_2. A better determination of the lepton mixing angles will give stronger
prediction for the CP-violating invariants in the lepton sector. These will be
tested in the next generation experiments. Finally we compute the effect of non
diagonal neutrino mass in "l_i -> l_j gamma" in SUSY theories with non trivial
Quark-Lepton complementarity and a flavor symmetry. The Quark-Lepton
complementarity and the flavor symmetry strongly constrain the theory and we
obtain a clear prediction for the contribution to "mu -> e gamma" and the "tau"
decays "tau -> e gamma" and "tau -> mu gamma". If the Dirac neutrino Yukawa
couplings are degenerate but the low energy neutrino masses are not degenerate,
then the lepton decays are related among them by the V_M entries. On the other
hand, if the Dirac neutrino Yukawa couplings are hierarchical or the low energy
neutrino masses are degenerate, then the prediction for the lepton decays comes
from the CKM hierarchy.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:00:58 GMT"
}
] | 2009-06-11T00:00:00 | [
[
"Picariello",
"Marco",
""
],
[
"Chauhan",
"Bhag C.",
""
],
[
"Pulido",
"Joao",
""
],
[
"Torrente-Lujan",
"Emilio",
""
]
] |
0706.2333 | Efim Kats i | V.A. Benderskii (Institute of Problems of Chemical Physics,
Chernogolovka, Russia), L.A. Falkovsky (L. D. Landau Institute for
Theoretical Physics, Moscow, and Institute of the High Pressure Physics,
Troitsk, Russia), E.I. Kats (Laue-Langevin Institute, Grenoble, France, and
L. D. Landau Institute for Theoretical Physics, Moscow, Russia) | Loschmidt echo and stochastic-like quantum dynamics of nano-particles | 8 pages, 3 figures | null | 10.1134/S0021364007150155 | null | cond-mat.stat-mech cond-mat.mes-hall | null | We investigate time evolution of prepared vibrational state (system) coupled
to a reservoir with dense spectrum of its vibrational states. We assume that
the reservoir has an equidistant spectrum, and the system - reservoir coupling
matrix elements are independent of the reservoir states. The analytical
solution manifests three regimes of the evolution for the system: (I) weakly
damped oscillations; (II) multicomponent Loschmidt echo in recurrence cycles;
(III) overlapping recurrence cycles. We find the characteristic critical values
of the system - reservoir coupling constant for the transitions between these
regimes. Stochastic dynamics occurs in the regime (III) due to inevoidably in
any real system coarse graining of time or energy measurements, or initial
condition uncertainty. Even though a specific toy model is investigated here,
when properly interpreted it yields quite reasonable description for a variety
of physically relevant phenomena.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:53:08 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Benderskii",
"V. A.",
"",
"Institute of Problems of Chemical Physics,\n Chernogolovka, Russia"
],
[
"Falkovsky",
"L. A.",
"",
"L. D. Landau Institute for\n Theoretical Physics, Moscow, and Institute of the High Pressure Physics,\n Troitsk, Russia"
],
[
"Kats",
"E. I.",
"",
"Laue-Langevin Institute, Grenoble, France, and\n L. D. Landau Institute for Theoretical Physics, Moscow, Russia"
]
] |
0706.2334 | Tim Stelzer | Johan Alwall, Pavel Demin, Simon de Visscher, Rikkert Frederix, Michel
Herquet, Fabio Maltoni, Tilman Plehn, David L. Rainwater, Tim Stelzer | MadGraph/MadEvent v4: The New Web Generation | 38 pages, 15 figures | JHEP 0709:028,2007 | 10.1088/1126-6708/2007/09/028 | null | hep-ph | null | We present the latest developments of the MadGraph/MadEvent Monte Carlo event
generator and several applications to hadron collider physics. In the current
version events at the parton, hadron and detector level can be generated
directly from a web interface, for arbitrary processes in the Standard Model
and in several physics scenarios beyond it (HEFT, MSSM, 2HDM). The most
important additions are: a new framework for implementing user-defined new
physics models; a standalone running mode for creating and testing matrix
elements; generation of events corresponding to different processes, such as
signal(s) and backgrounds, in the same run; two platforms for data analysis,
where events are accessible at the parton, hadron and detector level; and the
generation of inclusive multi-jet samples by combining parton-level events with
parton showers. To illustrate the new capabilities of the package some
applications to hadron collider physics are presented:
1) Higgs search in pp \to H \to W^+W^-: signal and backgrounds.
2) Higgs CP properties: pp \to H jj$in the HEFT.
3) Spin of a new resonance from lepton angular distributions.
4) Single-top and Higgs associated production in a generic 2HDM.
5) Comparison of strong SUSY pair production at the SPS points.
6) Inclusive W+jets matched samples: comparison with the Tevatron data.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 16:59:53 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Alwall",
"Johan",
""
],
[
"Demin",
"Pavel",
""
],
[
"de Visscher",
"Simon",
""
],
[
"Frederix",
"Rikkert",
""
],
[
"Herquet",
"Michel",
""
],
[
"Maltoni",
"Fabio",
""
],
[
"Plehn",
"Tilman",
""
],
[
"Rainwater",
"David L.",
""
],
[
"Stelzer",
"Tim",
""
]
] |
0706.2335 | Kazuya Yuasa | K. Yuasa, P. Facchi, H. Nakazato, I. Ohba, S. Pascazio, S. Tasaki | Lateral Effects in Fermion Antibunching | 22 pages, 4 figures | Phys. Rev. A 77 (2008) 043623 | 10.1103/PhysRevA.77.043623 | null | quant-ph | null | Lateral effects are analyzed in the antibunching of a beam of free
non-interacting fermions. The emission of particles from a source is
dynamically described in a 3D full quantum field-theoretical framework. The
size of the source and the detectors, as well as the temperature of the source
are taken into account and the behavior of the visibility is scrutinized as a
function of these parameters.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:09:36 GMT"
},
{
"version": "v2",
"created": "Wed, 23 Apr 2008 02:00:16 GMT"
}
] | 2008-04-23T00:00:00 | [
[
"Yuasa",
"K.",
""
],
[
"Facchi",
"P.",
""
],
[
"Nakazato",
"H.",
""
],
[
"Ohba",
"I.",
""
],
[
"Pascazio",
"S.",
""
],
[
"Tasaki",
"S.",
""
]
] |
0706.2336 | William Horowitz | W. A. Horowitz and M. Gyulassy | Testing AdS/CFT Deviations from pQCD Heavy Quark Energy Loss with Pb+Pb
at LHC | 4 pages, 2 figures | Phys.Lett.B666:320-323,2008 | 10.1016/j.physletb.2008.04.065 | null | nucl-th | null | Heavy quark jet quenching in nuclear collisions at LHC is predicted and
compared using the classical gravity AdS/CFT correspondence and Standard Model
perturbative QCD. The momentum independence and inverse quark mass dependence
of the drag coefficient in AdS/CFT differs substantially from the
characteristic log(pT/M)/pT variation of the drag in QCD. We propose that the
measurement of the momentum dependence of the double ratio of the nuclear
modification factors of charm and bottom jets is a robust observable that can
be used to search for strong coupling deviations from perturbative QCD
predictions.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:30:02 GMT"
}
] | 2009-05-04T00:00:00 | [
[
"Horowitz",
"W. A.",
""
],
[
"Gyulassy",
"M.",
""
]
] |
0706.2337 | Luciana Federici | L. Federici, M. Bellazzini, S. Galleti, F. Fusi Pecci, A. Buzzoni and
G. Parmeggiani | The extended structure of the remote cluster B514 in M31. Detection of
extra-tidal stars | 9 pages, 6 figures. Accepted for publication in Astronomy &
Astrophysics | null | 10.1051/0004-6361:20077122 | null | astro-ph | null | We present a study of the density profile of the remote M31 globular cluster
B514, obtained from HST/ACS observations. Coupling the analysis of the
distribution of the integrated light with star counts we can reliably follow
the profile of the cluster out to r~35", corresponding to ~130pc. The profile
is well fitted, out to ~15 core radii, by a King Model having C=1.65. With an
estimated core radius r_c=0.38", this corresponds to a tidal radius of r_t~17"
(~65pc). We find that both the light and the star counts profiles show a
departure from the best fit King model for r>~8" - as a surface brightness
excess at large radii, and the star counts profile shows a clear break in
correspondence of the estimated tidal radius. Both features are interpreted as
the signature of the presence of extratidal stars around the cluster. We also
show that B514 has a half-light radius significantly larger than ordinary
globular clusters of the same luminosity. In the M_V vs. log r_h plane, B514
lies in a region inhabited by peculiar clusters, like Omega Cen, G1, NGC2419
and others, as well as by the nuclei of dwarf elliptical galaxies.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:15:12 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Federici",
"L.",
""
],
[
"Bellazzini",
"M.",
""
],
[
"Galleti",
"S.",
""
],
[
"Pecci",
"F. Fusi",
""
],
[
"Buzzoni",
"A.",
""
],
[
"Parmeggiani",
"G.",
""
]
] |
0706.2338 | Jiri Krticka | J. Krticka, Z. Mikulasek, J. Zverko, J. Ziznovsky | The light variability of the helium strong star HD 37776 as a result of
its inhomogeneous elemental surface distribution | 11 pages, accepted for the publication in Astronomy & Astrophysics | null | 10.1051/0004-6361:20066627 | null | astro-ph | null | We simulate light curves of the helium strong chemically peculiar star HD
37776 assuming that the observed periodic light variations originate as a
result of inhomogeneous horizontal distribution of chemical elements on the
surface of a rotating star. We show that chemical peculiarity influences the
monochromatic radiative flux, mainly due to bound-free processes. Using the
model of the distribution of silicon and helium on HD 37776 surface, derived
from spectroscopy, we calculate a photometric map of the surface and
consequently the uvby light curves of this star. Basically, the predicted light
curves agree in shape and amplitude with the observed ones. We conclude that
the basic properties of variability of this helium strong chemically peculiar
star can be understood in terms of the model of spots with peculiar chemical
composition.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:15:16 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Krticka",
"J.",
""
],
[
"Mikulasek",
"Z.",
""
],
[
"Zverko",
"J.",
""
],
[
"Ziznovsky",
"J.",
""
]
] |
0706.2339 | Estia Eichten | Estia Eichten and Kenneth Lane | Low-Scale Technicolor at the Tevatron and LHC | Version to be published in Physics Letters B. Revised to reflect
latest CDF search for technirho to W technipi and new studies of the LHC's
reach for low-scale technicolor | Phys.Lett.B669:235-238,2008 | 10.1016/j.physletb.2008.09.047 | Fermilab-Pub-07-202-T, BUHEP-07-04 | hep-ph hep-ex | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Tevatron experiments CDF and DO are close to making definitive statements
about the technicolor discovery mode rho_T -> W pi_T for M(rho_T) <~ 230 GeV
and M(pi_T) <~ 125 GeV. We propose new incisive tests for this mode and
searches for others that may be feasible at the Tevatron and certainly are at
the LHC. The other searches include two long discussed, namely, omega_T ->
gamma pi_T and l+l-, and a new one -- for the I^G J^{PC} = 1^- 1^{++} partner,
a_T, of the rho_T. Adopting the argument that the technicolor contribution to S
is reduced if M(a_T) is near M(rho_T), we enumerate important a_T decays and
estimate production rates at the colliders.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:19:21 GMT"
},
{
"version": "v2",
"created": "Mon, 15 Sep 2008 18:43:33 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Eichten",
"Estia",
""
],
[
"Lane",
"Kenneth",
""
]
] |
0706.2340 | Hui Zhu | Regis Blache, Eric Ferard, Hui June Zhu | Hodge-Stickelberger polygons for L-functions of exponential sums of
P(x^s) | 18 pages | null | null | null | math.NT math.AG | null | Let P(x) be a one-variable Laurent polynomial of degree (d_1,d_2) over a
finite field of characteristic p. For any fixed positive integer s not
divisible by p, we prove that the (normalized) p-adic Newton polygon of the
L-functions of exponential sums of P(x^s) has a tight lower bound which we call
`Hodge-Stickelberger polygon', depending only on d_1,d_2,s, and (p mod s). This
Hodge-Stickelberger polygon is a weighted convolution of a `Hodge polygon' for
L-function of exponential sum of P(x) and the `Newton polygon' for L-function
of exponential sum of x^s (given by the classical Stickelberger theory). We
prove an analogous Hodge-Stickelberger lower bound for multivariable Laurent
polynomials as well.
We prove this Hodge-Stickelberger polygon is the limit of generic Newton
polygons of P(x^s) in a sense that was made explicit in the paper.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:19:49 GMT"
},
{
"version": "v2",
"created": "Mon, 18 Jun 2007 19:56:53 GMT"
},
{
"version": "v3",
"created": "Thu, 20 Sep 2007 21:26:36 GMT"
}
] | 2007-09-21T00:00:00 | [
[
"Blache",
"Regis",
""
],
[
"Ferard",
"Eric",
""
],
[
"Zhu",
"Hui June",
""
]
] |
0706.2341 | Christoph Luhn | Christoph Luhn, Salah Nasri and Pierre Ramond | Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3 | 15 pages, matches published version, updated references | Phys.Lett.B652:27-33,2007 | 10.1016/j.physletb.2007.06.059 | UFIFT-HEP-07-8 | hep-ph hep-th | null | The Non-Abelian finite group PSL_2(7) is the only simple subgroup of SU(3)
with a complex three-dimensional irreducible representation. It has two maximal
subgroups, S_4 which, along with its own A_4 subgroup, has been successfully
applied in numerous models of flavor, as well as the 21 element Frobenius group
Z_7 x Z_3, which has gained much less attention. We show that it can also be
used to generate tri-bimaximal mixing in the neutrino sector, while allowing
for quark and charged lepton hierarchies.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:46:35 GMT"
},
{
"version": "v2",
"created": "Tue, 11 Sep 2007 13:12:11 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Luhn",
"Christoph",
""
],
[
"Nasri",
"Salah",
""
],
[
"Ramond",
"Pierre",
""
]
] |
0706.2342 | Herbert Hamber | Herbert W. Hamber, Ruth M. Williams | Gravitational Wilson Loop and Large Scale Curvature | 22 pages, 6 figures | Phys.Rev.D76:084008,2007 | 10.1103/PhysRevD.76.084008 | null | hep-th gr-qc | null | In a quantum theory of gravity the gravitational Wilson loop, defined as a
suitable quantum average of a parallel transport operator around a large
near-planar loop, provides important information about the large-scale
curvature properties of the geometry. Here we shows that such properties can be
systematically computed in the strong coupling limit of lattice regularized
quantum gravity, by performing a local average over rotations, using an assumed
near-uniform measure in group space. We then relate the resulting quantum
averages to an expected semi-classical form valid for macroscopic observers,
which leads to an identification of the gravitational correlation length
appearing in the Wilson loop with an observed large-scale curvature. Our
results suggest that strongly coupled gravity leads to a positively curved (De
Sitter-like) quantum ground state, implying a positive effective cosmological
constant at large distances.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:25:11 GMT"
},
{
"version": "v2",
"created": "Tue, 28 Aug 2007 18:22:52 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Hamber",
"Herbert W.",
""
],
[
"Williams",
"Ruth M.",
""
]
] |
0706.2343 | Rodica Costin | Rodica D. Costin | Nonlinear perturbations of Fuchsian systems: corrections and
linearization, normal forms | null | null | 10.1088/0951-7715/21/9/009 | null | math.CA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear perturbation of Fuchsian systems are studied in a region including
two singularities. It is proved that such systems are generally not
analytically equivalent to their linear part (they are not linearizable) and
the obstructions are found constructively, as a countable set of numbers.
Furthermore, assuming a polynomial character of the nonlinear part, it is shown
that there exists a unique formal "correction" of the nonlinear part so that
the "corrected" system is formally linearizable.
Normal forms of these systems are found, providing also their classification.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:32:41 GMT"
},
{
"version": "v2",
"created": "Tue, 1 Jul 2008 01:23:31 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Costin",
"Rodica D.",
""
]
] |
0706.2344 | Bernard Rauscher | Bernard J. Rauscher, Ori Fox, and Pierre Ferruit, et al | Detectors for the James Webb Space Telescope Near-Infrared Spectrograph
I: Readout Mode, Noise Model, and Calibration Considerations | 55 pages, 10 figures | null | 10.1086/520887 | null | astro-ph | null | We describe how the James Webb Space Telescope (JWST) Near-Infrared
Spectrograph's (NIRSpec's) detectors will be read out, and present a model of
how noise scales with the number of multiple non-destructive reads
sampling-up-the-ramp. We believe that this noise model, which is validated
using real and simulated test data, is applicable to most astronomical
near-infrared instruments. We describe some non-ideal behaviors that have been
observed in engineering grade NIRSpec detectors, and demonstrate that they are
unlikely to affect NIRSpec sensitivity, operations, or calibration. These
include a HAWAII-2RG reset anomaly and random telegraph noise (RTN). Using real
test data, we show that the reset anomaly is: (1) very nearly noiseless and (2)
can be easily calibrated out. Likewise, we show that large-amplitude RTN
affects only a small and fixed population of pixels. It can therefore be
tracked using standard pixel operability maps.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:33:17 GMT"
}
] | 2019-08-19T00:00:00 | [
[
"Rauscher",
"Bernard J.",
""
],
[
"Fox",
"Ori",
""
],
[
"Ferruit",
"Pierre",
""
]
] |
0706.2345 | Jackson Wu | We-Fu Chang, John N. Ng, Jackson M. S. Wu | Phenomenology from a U(1) gauged hidden sector | 5 pages, 2 figures. Talk given at the Lake Louise Winter Institute
2007, Feb. 19-24, Alberta, Canada | null | 10.1142/9789812776105_0056 | null | hep-ph | null | We consider the phenomenological consequences of a hidden Higgs sector
extending the Standard Model (SM), in which the matter content are uncharged
under the SM gauge groups. We consider a simple case where the hidden sector is
gauged under a U(1) with one Higgs singlet. The only couplings between SM and
the hidden sector are through mixings between the neutral gauge bosons of the
two respective sectors, and between the Higgs bosons. We find signals testable
at the LHC that can reveal the existence and shed light on the nature of such a
hidden sector.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:38:15 GMT"
}
] | 2017-08-23T00:00:00 | [
[
"Chang",
"We-Fu",
""
],
[
"Ng",
"John N.",
""
],
[
"Wu",
"Jackson M. S.",
""
]
] |
0706.2346 | Yves Wiaux | Y. Wiaux, P. Vielva, R. B. Barreiro, E. Martinez-Gonzalez, P.
Vandergheynst | Non-Gaussianity analysis on local morphological measures of WMAP data | 10 pages, 3 figures. Version 2 includes minor changes to match
version accepted for publication in MNRAS | Mon. Not. R. Astron. Soc. 385 (2008) 939 | 10.1111/j.1365-2966.2008.12901.x | EPFL-ITS-04.2006 | astro-ph | null | The decomposition of a signal on the sphere with the steerable wavelet
constructed from the second Gaussian derivative gives access to the
orientation, signed-intensity, and elongation of the signal's local features.
In the present work, the non-Gaussianity of the WMAP temperature data of the
cosmic microwave background (CMB) is analyzed in terms of the first four
moments of the statistically isotropic random fields associated with these
local morphological measures, at wavelet scales corresponding to angular sizes
between 27.5 arcminutes and 30 degrees on the celestial sphere. While no
detection is made neither in the orientation analysis nor in the elongation
analysis, a strong detection is made in the excess kurtosis of the
signed-intensity of the WMAP data. The non-Gaussianity is observed with a
significance level below 0.5% at a wavelet scale corresponding to an angular
size around 10 degrees, and confirmed at neighbour scales. This supports a
previous detection of an excess of kurtosis in the wavelet coefficient of the
WMAP data with the axisymmetric Mexican hat wavelet (Vielva et al. 2004).
Instrumental noise and foreground emissions are not likely to be at the origin
of the excess of kurtosis. Large-scale modulations of the CMB related to some
unknown systematics are rejected as possible origins of the detection. The
observed non-Gaussianity may therefore probably be imputed to the CMB itself,
thereby questioning the basic inflationary scenario upon which the present
concordance cosmological model relies. Taking the CMB temperature angular power
spectrum of the concordance cosmological model at face value, further analysis
also suggests that this non-Gaussianity is not confined to the directions on
the celestial sphere with an anomalous signed-intensity.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 17:56:50 GMT"
},
{
"version": "v2",
"created": "Mon, 7 Jan 2008 11:45:32 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Wiaux",
"Y.",
""
],
[
"Vielva",
"P.",
""
],
[
"Barreiro",
"R. B.",
""
],
[
"Martinez-Gonzalez",
"E.",
""
],
[
"Vandergheynst",
"P.",
""
]
] |
0706.2347 | Maite Grau | Lubomir Gavrilov, Jaume Gine and Maite Grau | On the cyclicity of weight-homogeneous centers | 13 pages, no figures | J. Differential Equations 246 (2009) 3126-3135 | null | null | math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let W be a weight-homogeneous planar polynomial differential system with a
center. We find an upper bound of the number of limit cycles which bifurcate
from the period annulus of W under a generic polynomial perturbation. We apply
this result to a particular family of planar polynomial systems having a
nilpotent center without meromorphic first integral.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:08:48 GMT"
},
{
"version": "v2",
"created": "Sat, 14 Mar 2009 18:26:08 GMT"
}
] | 2009-03-14T00:00:00 | [
[
"Gavrilov",
"Lubomir",
""
],
[
"Gine",
"Jaume",
""
],
[
"Grau",
"Maite",
""
]
] |
0706.2348 | Rodica Costin | Rodica D. Costin | Analytic linearization of nonlinear perturbations of Fuchsian systems | null | null | 10.1088/0951-7715/21/9/010 | null | math.CA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear perturbation of Fuchsian systems are studied in regions including
two singularities. Such systems are not necessarily analytically equivalent to
their linear part (they are not linearizable). Nevertheless, it is shown that
in the case when the linear part has commuting monodromy, and the eigenvalues
have positive real parts, there exists a unique correction function of the
nonlinear part so that the corrected system becomes analytically linearizable.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:38:03 GMT"
},
{
"version": "v2",
"created": "Tue, 1 Jul 2008 01:28:19 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Costin",
"Rodica D.",
""
]
] |
0706.2349 | Wanpeng Tan | W. P. Tan, J. L. Fisker, J. Goerres, M. Couder, M. Wiescher | The $^{15}$O($\alpha$,$\gamma$)$^{19}$Ne Breakout Reaction and Impact on
X-Ray Bursts | 4 pages with 5 figures | Phys.Rev.Lett.98:242503,2007 | 10.1103/PhysRevLett.98.242503 | null | nucl-ex astro-ph | null | The breakout reaction $^{15}$O($\alpha,\gamma$)$^{19}$Ne, which regulates the
flow between the hot CNO cycle and the rp-process, is critical for the
explanation of the burst amplitude and periodicity of X-ray bursters. We report
on the first successful measurement of the critical $\alpha$-decay branching
ratios of relevant states in $^{19}$Ne populated via
$^{19}$F($^3$He,t)$^{19}$Ne. Based on the experimental results and our previous
lifetime measurements of these states, we derive the first experimental rate of
$^{15}$O($\alpha,\gamma$)$^{19}$Ne. The impact of our experimental results on
the burst pattern and periodicity for a range of accretion rates is analyzed.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:16:15 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Tan",
"W. P.",
""
],
[
"Fisker",
"J. L.",
""
],
[
"Goerres",
"J.",
""
],
[
"Couder",
"M.",
""
],
[
"Wiescher",
"M.",
""
]
] |
0706.2350 | Karim Mounirh | Karim Mounirh | Kummer subfields of tame division algebras over Henselian valued fields | 17 pages | null | null | null | math.RA | null | By generalizing the method used by Tignol and Amitsur in [TA85], we determine
necessary and sufficient conditions for an arbitrary tame central division
algebra D over a Henselian valued field E to have Kummer subfields [Corollary
2.11 and Corollary 2.12]. We prove also that if D is a tame semiramified
division algebra of prime power degree p^n over E such that p\neq char(\bar E)
and rk(\Gamma_D/\Gamma_E)\geq 3 [resp., such that p\neq char(\bar E) and p^3
divides exp(\Gamma_D/\Gamma_E)], then D is non-cyclic [Proposition 3.1] [resp.,
D is not an elementary abelian crossed product [Proposition 3.2]].
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:17:19 GMT"
}
] | 2007-06-18T00:00:00 | [
[
"Mounirh",
"Karim",
""
]
] |
0706.2351 | Neelima Sehgal | Neelima Sehgal (1), John P. Hughes (1), David Wittman (2), Vera
Margoniner (2), J. Anthony Tyson (2), Perry Gee (2), Ian Dell'Antonio (3)
((1) Rutgers, (2) UC Davis, (3) Brown) | Probing the Relation Between X-ray-Derived and Weak-Lensing-Derived
Masses for Shear-Selected Galaxy Clusters: I. A781 | 14 pages, 7 figures, matches version in ApJ | Astrophys.J. 673 (2008) 163-175 | 10.1086/523840 | Rutgers Astrophysics Preprint #454 | astro-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compare X-ray and weak-lensing masses for four galaxy clusters that
comprise the top-ranked shear-selected cluster system in the Deep Lens Survey.
The weak-lensing observations of this system, which is associated with A781,
are from the Kitt Peak Mayall 4-m telescope, and the X-ray observations are
from both Chandra and XMM-Newton. For a faithful comparison of masses, we adopt
the same matter density profile for each method, which we choose to be an NFW
profile. Since neither the X-ray nor weak-lensing data are deep enough to well
constrain both the NFW scale radius and central density, we estimate the scale
radius using a fitting function for the concentration derived from cosmological
hydrodynamic simulations and an X-ray estimate of the mass assuming
isothermality. We keep this scale radius in common for both X-ray and
weak-lensing profiles, and fit for the central density, which scales linearly
with mass. We find that for three of these clusters, there is agreement between
X-ray and weak-lensing NFW central densities, and thus masses. For the other
cluster, the X-ray central density is higher than that from weak-lensing by 2
sigma. X-ray images suggest that this cluster may be undergoing a merger with a
smaller cluster. This work serves as an additional step towards understanding
the possible biases in X-ray and weak-lensing cluster mass estimation methods.
Such understanding is vital to efforts to constrain cosmology using X-ray or
weak-lensing cluster surveys to trace the growth of structure over cosmic time.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:22:19 GMT"
},
{
"version": "v2",
"created": "Fri, 21 Sep 2007 18:45:18 GMT"
},
{
"version": "v3",
"created": "Fri, 20 Jun 2008 20:15:42 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Sehgal",
"Neelima",
"",
"Rutgers"
],
[
"Hughes",
"John P.",
"",
"Rutgers"
],
[
"Wittman",
"David",
"",
"UC Davis"
],
[
"Margoniner",
"Vera",
"",
"UC Davis"
],
[
"Tyson",
"J. Anthony",
"",
"UC Davis"
],
[
"Gee",
"Perry",
"",
"UC Davis"
],
[
"Dell'Antonio",
"Ian",
"",
"Brown"
]
] |
0706.2352 | Giovanni Piacente | G. Piacente and G. Q. Hai | Electron-acoustic-phonon scattering and electron relaxation in
two-coupled quantum rings | 17 pages, 8 figures, to appear in Journal of Applied Physics | null | 10.1063/1.2748715 | null | cond-mat.other cond-mat.mtrl-sci | null | Electron relaxation, induced by acoustic phonons, is studied for coupled
quantum rings in the presence of external fields, both electric and magnetic.
We address the problem of a single electron in vertically coupled GaAs quantum
rings. Electron-phonon interaction is accounted for both deformation potential
and piezoelectric field coupling mechanisms. Depending on the external fields,
the ring radii and the separation between the rings, we show that the two
different couplings have different weights and importance. Significant
oscillations are found in the scattering rates from electron excited states to
the ground state, as a function of either the geometry of the system or the
external fields.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:23:07 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Piacente",
"G.",
""
],
[
"Hai",
"G. Q.",
""
]
] |
0706.2353 | Supratim Sengupta | Supratim Sengupta, Andrew D. Rutenberg | Modeling partitioning of Min proteins between daughter cells after
septation in Escherichia coli | 17 pages, including 6 figures. Typo in captions of fig.2,5 corrected.
Version which appears in Physical Biology | Phys. Biol. 4 (2007) 145-153. | 10.1088/1478-3975/4/3/001 | null | q-bio.SC | null | Ongoing sub-cellular oscillation of Min proteins is required to block
minicelling in E. coli. Experimentally, Min oscillations are seen in newly
divided cells and no minicells are produced. In model Min systems many daughter
cells do not oscillate following septation because of unequal partitioning of
Min proteins between the daughter cells. Using the 3D model of Huang et al., we
investigate the septation process in detail to determine the cause of the
asymmetric partitioning of Min proteins between daughter cells. We find that
this partitioning problem arises at certain phases of the MinD and MinE
oscillations with respect to septal closure and it persists independently of
parameter variation. At most 85% of the daughter cells exhibit Min oscillation
following septation. Enhanced MinD binding at the static polar and dynamic
septal regions, consistent with cardiolipin domains, does not substantially
increase this fraction of oscillating daughters. We believe that this problem
will be shared among all existing Min models and discuss possible biological
mechanisms that may minimize partitioning errors of Min proteins following
septation.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:59:37 GMT"
},
{
"version": "v2",
"created": "Mon, 16 Jul 2007 19:15:16 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Sengupta",
"Supratim",
""
],
[
"Rutenberg",
"Andrew D.",
""
]
] |
0706.2354 | Matthias K\"oppe | Jes\'us A. De Loera, Raymond Hemmecke, Matthias K\"oppe, Robert
Weismantel | FPTAS for optimizing polynomials over the mixed-integer points of
polytopes in fixed dimension | 16 pages, 4 figures; to appear in Mathematical Programming | Mathematical Programming, Series A 118 (2008), 273-290 | 10.1007/s10107-007-0175-8 | null | math.OC | null | We show the existence of a fully polynomial-time approximation scheme (FPTAS)
for the problem of maximizing a non-negative polynomial over mixed-integer sets
in convex polytopes, when the number of variables is fixed. Moreover, using a
weaker notion of approximation, we show the existence of a fully
polynomial-time approximation scheme for the problem of maximizing or
minimizing an arbitrary polynomial over mixed-integer sets in convex polytopes,
when the number of variables is fixed.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:57:33 GMT"
}
] | 2017-01-03T00:00:00 | [
[
"De Loera",
"Jesús A.",
""
],
[
"Hemmecke",
"Raymond",
""
],
[
"Köppe",
"Matthias",
""
],
[
"Weismantel",
"Robert",
""
]
] |
0706.2355 | Sami Nurmi | Kari Enqvist, Lotta Mether and Sami Nurmi | Supergravity origin of the MSSM inflation | v3: 10 pages, no figures; version accepted for publication. Typos
corrected | JCAP 0711:014,2007 | 10.1088/1475-7516/2007/11/014 | null | hep-th astro-ph hep-ph | null | We consider the supergravity origin of the recently proposed MSSM
inflationary model, which relies on the existence of a saddle point along a
dimension six flat direction. We derive the conditions that the Kahler
potential has to satisfy for the saddle point to exist irrespective of the
hidden sector vevs. We show that these conditions are satisfied by a simple
class of Kahler potentials, which we find to have a similar form as in various
string theory compactifications. For these potentials, slow roll MSSM inflation
requires no fine tuning of the soft supersymmetry breaking parameters.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 18:57:47 GMT"
},
{
"version": "v2",
"created": "Mon, 25 Jun 2007 07:52:38 GMT"
},
{
"version": "v3",
"created": "Wed, 28 Nov 2007 15:38:07 GMT"
}
] | 2009-11-18T00:00:00 | [
[
"Enqvist",
"Kari",
""
],
[
"Mether",
"Lotta",
""
],
[
"Nurmi",
"Sami",
""
]
] |
0706.2356 | Anne Broadbent | Gilles Brassard, Anne Broadbent, Joseph Fitzsimons, Sebastien Gambs
and Alain Tapp | Anonymous quantum communication | 11 pages, to appear in Proceedings of ASIACRYPT, 2007 | Proceedings of ASIACRYPT 2007 pp. 460-473 | 10.1007/978-3-540-76900-2_28 | null | quant-ph | null | We present the first protocol for the anonymous transmission of a quantum
state that is information-theoretically secure against an active adversary,
without any assumption on the number of corrupt participants. The anonymity of
the sender and receiver is perfectly preserved, and the privacy of the quantum
state is protected except with exponentially small probability. Even though a
single corrupt participant can cause the protocol to abort, the quantum state
can only be destroyed with exponentially small probability: if the protocol
succeeds, the state is transferred to the receiver and otherwise it remains in
the hands of the sender (provided the receiver is honest).
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 19:14:34 GMT"
}
] | 2015-09-15T00:00:00 | [
[
"Brassard",
"Gilles",
""
],
[
"Broadbent",
"Anne",
""
],
[
"Fitzsimons",
"Joseph",
""
],
[
"Gambs",
"Sebastien",
""
],
[
"Tapp",
"Alain",
""
]
] |
0706.2357 | Gennaro Corcella | Gennaro Corcella (Rome U.), Giancarlo Ferrera (Barcelona U., ECM) | Charm-quark fragmentation with an effective coupling constant | 26 pages, 10 figures. Analysis in Mellin space and few references
added | JHEP 0712:029,2007 | 10.1088/1126-6708/2007/12/029 | ROME1/1453/07, UB-ECM-PF-07-16 | hep-ph | null | We use a recently proposed non-perturbative model, based on an effective
strong coupling constant and free from tunable parameters, to study c-flavoured
hadron production in e+e- annihilation. Charm-quark production is described in
the framework of perturbative fragmentation functions, with NLO coefficient
functions, NLL non-singlet DGLAP evolution and NNLL large-x resummation. We
model hadronization effects by means of the effective coupling constant in the
NNLO approximation and compare our results with experimental data taken at the
Z0 pole and at the Upsilon(4S) resonance. We find that, within the experimental
and theoretical uncertainties, our model is able to give a reasonable
description of D*+-meson spectra from ALEPH for x<1-Lambda/m_c. More serious
discrepancies are instead present when comparing with D and D^* data from BELLE
and CLEO in x-space. Within the errors, our model is nonetheless capable of
reproducing the first ten Mellin moments of all considered data sets. However,
the fairly large theoretical uncertainties call for a full NNLO/NNLL analysis.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 19:10:24 GMT"
},
{
"version": "v2",
"created": "Thu, 6 Dec 2007 14:39:17 GMT"
}
] | 2010-03-25T00:00:00 | [
[
"Corcella",
"Gennaro",
"",
"Rome U."
],
[
"Ferrera",
"Giancarlo",
"",
"Barcelona U., ECM"
]
] |
0706.2358 | Guennadi Borissov | D0 Collaboration, V. Abazov, et al | Measurement of the Lambda_b lifetime using semileptonic decays | submitted to Phys. Rev. Lett | Phys.Rev.Lett.99:182001,2007 | 10.1103/PhysRevLett.99.182001 | FERMILAB-PUB-07/205-E | hep-ex | null | We report a measurement of the Lambda_b lifetime using a sample corresponding
to 1.3 fb$^{-1}$ of data collected by the D0 experiment in 2002--2006 during
Run II of the Fermilab Tevatron collider. The Lambda_b baryon is reconstructed
via the decay Lambda_b -> mu nu Lambda_c X. Using $4437 \pm 329$ signal
candidates, we measure the Lambda_b lifetime to be $\tau(Lambda_b)$ =
1.290^{+0.119}_{-0.110}(stat) ^{+0.087}_{-0.091} (syst) ps, which is among the
most precise measurements in semileptonic Lambda_b decays. This result is in
good agreement with the world average value.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 19:19:06 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"D0 Collaboration",
"",
""
],
[
"Abazov",
"V.",
""
]
] |
0706.2359 | Silvia Viola Kusminskiy | S. Viola Kusminskiy, Johan Nilsson, D. K. Campbell, and A. H. Castro
Neto | Electronic compressibility of a graphene bilayer | 4 pages, 4 figures. Final version | Phys. Rev. Lett. 100, 106805 (2008) | 10.1103/PhysRevLett.100.106805 | null | cond-mat.str-el | null | We calculate the electronic compressibility arising from electron-electron
interactions for a graphene bilayer within the Hartree-Fock approximation. We
show that, due to the chiral nature of the particles in this system, the
compressibility is rather different from those of either the two-dimensional
electron gas or ordinary semiconductors. We find that an inherent competition
between the contributions coming from intra-band exchange interactions
(dominant at low densities) and inter-band interactions (dominant at moderate
densities) leads to a non-monotonic behavior of the compressibility as a
function of carrier density.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:00:07 GMT"
},
{
"version": "v2",
"created": "Fri, 22 Jun 2007 20:00:23 GMT"
},
{
"version": "v3",
"created": "Mon, 31 Mar 2008 23:39:03 GMT"
}
] | 2008-04-01T00:00:00 | [
[
"Kusminskiy",
"S. Viola",
""
],
[
"Nilsson",
"Johan",
""
],
[
"Campbell",
"D. K.",
""
],
[
"Neto",
"A. H. Castro",
""
]
] |
0706.2360 | Yuk Tung Liu | Yuk Tung Liu, Stuart L. Shapiro, Branson C. Stephens (UIUC) | Magnetorotational collapse of very massive stars to black holes in full
general relativity | 17 pages, 13 figures, replaced with the published version | Phys.Rev.D76:084017,2007 | 10.1103/PhysRevD.76.084017 | null | astro-ph gr-qc | null | We perform axisymmetric simulations of the magnetorotational collapse of very
massive stars in full general relativity. Our simulations are applicable to the
collapse of supermassive stars (M > 10^3M_sun) and to very massive Pop III
stars. We model our initial configurations by n=3 polytropes. The ratio of
magnetic to rotational kinetic energy in these configurations is chosen to be
small (1% and 10%). We find that such magnetic fields do not affect the initial
collapse significantly. The core collapses to a black hole, after which black
hole excision is employed to continue the evolution long enough for the hole to
reach a quasi-stationary state. We find that the black hole mass is M_h = 0.95M
and its spin parameter is J_h/M_h^2 = 0.7, with the remaining matter forming a
torus around the black hole. We freeze the spacetime metric ("Cowling
approximation") and continue to follow the evolution of the torus after the
black hole has relaxed to quasi-stationary equilibrium. In the absence of
magnetic fields, the torus settles down following ejection of a small amount of
matter due to shock heating. When magnetic fields are present, the field lines
gradually collimate along the hole's rotation axis. MHD shocks and the MRI
generate MHD turbulence in the torus and stochastic accretion onto the central
black hole. When the magnetic field is strong, a wind is generated in the
torus, and the torus undergoes radial oscillations that drive episodic
accretion onto the hole. These oscillations produce long-wavelength
gravitational waves potentially detectable by LISA. The final state of the
magnetorotational collapse always consists of a central black hole surrounded
by a collimated magnetic field and a hot, thick accretion torus. This system is
a viable candidate for the central engine of a long-soft gamma-ray burst.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:00:30 GMT"
},
{
"version": "v2",
"created": "Sun, 28 Oct 2007 18:24:52 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Liu",
"Yuk Tung",
"",
"UIUC"
],
[
"Shapiro",
"Stuart L.",
"",
"UIUC"
],
[
"Stephens",
"Branson C.",
"",
"UIUC"
]
] |
0706.2361 | Karin Sandstrom | Karin M. Sandstrom, J. E. G. Peek, Geoffrey C. Bower, Alberto D.
Bolatto and Richard L. Plambeck | A Parallactic Distance of 389 +24/-21 parsecs to the Orion Nebula
Cluster from Very Long Baseline Array Observations | 10 pages, 4 figures, emulateapj, accepted to ApJ | null | 10.1086/520922 | null | astro-ph | null | We determine the parallax and proper motion of the flaring, non-thermal radio
star GMR A, a member of the Orion Nebula Cluster, using Very Long Baseline
Array observations. Based on the parallax, we measure a distance of 389 +24/-21
parsecs to the source. Our measurement places the Orion Nebula Cluster
considerably closer than the canonical distance of 480 +/- 80 parsecs
determined by Genzel et al. (1981). A change of this magnitude in distance
lowers the luminosities of the stars in the cluster by a factor of ~ 1.5. We
briefly discuss two effects of this change--an increase in the age spread of
the pre-main sequence stars and better agreement between the zero-age
main-sequence and the temperatures and luminosities of massive stars.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 21:50:24 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Sandstrom",
"Karin M.",
""
],
[
"Peek",
"J. E. G.",
""
],
[
"Bower",
"Geoffrey C.",
""
],
[
"Bolatto",
"Alberto D.",
""
],
[
"Plambeck",
"Richard L.",
""
]
] |
0706.2362 | Arnab Sen | Arnab Sen, Kedar Damle, and Ashvin Vishwanath | Magnetization plateaus and sublattice ordering in easy axis Kagome
lattice antiferromagnets | published version | Phys. Rev. Lett. 100, 097202 (2008) | 10.1103/PhysRevLett.100.097202 | null | cond-mat.str-el | null | We study kagome lattice antiferromagnets where the effects of easy axis
single-ion anisotropy ($D$) dominates over the Heisenberg exchange $J$. For $S
\ge 3/2$, virtual quantum fluctuations help lift the extensive classical
degeneracy. We demonstrate the presence of a one-third magnetization plateau
for a broad range of magnetic fields $J^3/D^2 \lesssim B \lesssim JS$ along the
easy axis. The fully equilibriated system at low temperature on this plateau
develops an unusual {\em nematic} order that breaks sublattice rotation
symmetry but not translation symmetry--however, extremely slow dynamics
associated with this ordering is expected to lead to glassy freezing of the
system on intermediate time-scales.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:02:13 GMT"
},
{
"version": "v2",
"created": "Sat, 29 Mar 2008 09:01:17 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Sen",
"Arnab",
""
],
[
"Damle",
"Kedar",
""
],
[
"Vishwanath",
"Ashvin",
""
]
] |
0706.2363 | Miranda C.N. Cheng | Miranda C.N. Cheng, Erik Verlinde | Dying Dyons Don't Count | 27 pages, 2 figures; one minus sign corrected | JHEP 0709:070,2007 | 10.1088/1126-6708/2007/09/070 | ITFA-07-22 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dyonic 1/4-BPS states in 4D string theory with N=4 spacetime
supersymmetry are counted by a Siegel modular form. The pole structure of the
modular form leads to a contour dependence in the counting formula obscuring
its duality invariance. We exhibit the relation between this ambiguity and the
(dis-)appearance of bound states of 1/2-BPS configurations. Using this insight
we propose a precise moduli-dependent contour prescription for the counting
formula. We then show that the degeneracies are duality-invariant and are
correctly adjusted at the walls of marginal stability to account for the
(dis-)appearance of the two-centered bound states. Especially, for large black
holes none of these bound states exists at the attractor point and none of
these ambiguous poles contributes to the counting formula. Using this fact we
also propose a second, moduli-independent contour which counts the "immortal
dyons" that are stable everywhere.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 08:01:57 GMT"
},
{
"version": "v2",
"created": "Fri, 31 Oct 2008 20:27:43 GMT"
}
] | 2009-11-18T00:00:00 | [
[
"Cheng",
"Miranda C. N.",
""
],
[
"Verlinde",
"Erik",
""
]
] |
0706.2364 | Hsiao-Wen Chen | Hsiao-Wen Chen (University of Chicago), J. X. Prochaska (UCO/Lick
Observatory), and Joshua S. Bloom (UC Berkeley) | Super Star Cluster NGC1705-1: A Local Analogue to the Birthsite of
Long-duration Gamma-ray Bursts | 20 pages, including 3 figurs. ApJ in press | null | 10.1086/521021 | null | astro-ph | null | Recent observations suggest that global properties of the host galaxies for
long-duration gamma-ray bursts (GRBs) are particularly well-suited for creating
the massive star progenitors of these GRBs. Motivated by the hypothesis that
massive young star clusters located in metal-poor, low-metallicity galaxies are
a natural birthsite for GRB progenitors, we present a comparison study of the
ISM properties along the sightline toward the super star cluster, NGC1705-1,
and those in distant GRB hosts. Using the same set of metal transitions in the
UV and applying known ISM structures in NGC1705, we find that NGC1705-1
resembles distant GRB host galaxies in its high neutral gas column, low
molecular gas fraction, low metallicity, alpha-element enhancement,and low dust
depletion. The lack of molecular gas is due to the enhanced UV radiation field
in the starburst environment, consistent with the expectations for GRB
progenitors. In addition, the known presence of dense neutral gas clouds at
r<500 pc from NGC1705-1 provides a natural reservoir of C^+, Si^+, and Fe^+
ions that may be subsequently excited by the afterglow UV radiation field to
produce excited lines commonly seen in GRB host ISM. We further argue that the
apparent offset in the velocity profiles of low- and high-ionization
transitions from absorption-line observations alone already offers important
clues for related starburst episodes in GRB host galaxies. Our study shows that
a statistical comparison between the ISM around star clusters and high-redshift
GRB progenitors is important for identifying the key physical parameters that
facilitate the formation of GRBs.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:06:08 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Chen",
"Hsiao-Wen",
"",
"University of Chicago"
],
[
"Prochaska",
"J. X.",
"",
"UCO/Lick\n Observatory"
],
[
"Bloom",
"Joshua S.",
"",
"UC Berkeley"
]
] |
0706.2365 | Luciano da Fontoura Costa | Paulino R. Villas Boas, Francisco A. Rodrigues, Gonzalo Travieso and
Luciano da F. Costa | Chain motifs: The tails and handles of complex networks | 13 pages, 8 figures. A working manuscript, comments welcomed | null | 10.1103/PhysRevE.77.026106 | null | cond-mat.dis-nn cond-mat.stat-mech | null | Great part of the interest in complex networks has been motivated by the
presence of structured, frequently non-uniform, connectivity. Because diverse
connectivity patterns tend to result in distinct network dynamics, and also
because they provide the means to identify and classify several types of
complex networks, it becomes important to obtain meaningful measurements of the
local network topology. In addition to traditional features such as the node
degree, clustering coefficient and shortest path, motifs have been introduced
in the literature in order to provide complementary description of the networks
connectivity. The current work proposes a new type of motifs, namely chains of
nodes, namely sequences of connected nodes with degree two. These chains have
been subdivided into cords, tails, rings and handles, depending on the type of
their extremities (e.g. open or connected). A theoretical analysis of the
density of such motifs in random and scale free networks is described, and an
algorithm for identifying those motifs in general networks is presented. The
potential of considering chains for network characterization has been
illustrated with respect to five categories of real-world networks including 16
cases. Several interesting findings were obtained, including the fact that
several chains were observed in the real-world networks, especially the WWW,
books, and power-grid. The possibility of chains resulting from incompletely
sampled networks is also investigated.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:18:59 GMT"
},
{
"version": "v2",
"created": "Thu, 21 Jun 2007 18:46:33 GMT"
},
{
"version": "v3",
"created": "Fri, 26 Oct 2007 15:42:57 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Boas",
"Paulino R. Villas",
""
],
[
"Rodrigues",
"Francisco A.",
""
],
[
"Travieso",
"Gonzalo",
""
],
[
"Costa",
"Luciano da F.",
""
]
] |
0706.2366 | Oswaldo Dieguez | Oswaldo Dieguez and David Vanderbilt | Theoretical study of ferroelectric potassium nitrate | Replaced with extended version | Phys. Rev. B 76, 134101 (2007) | 10.1103/PhysRevB.76.134101 | null | cond-mat.mtrl-sci | null | We present a detailed study of the structural behavior and polarization
reversal mechanism in phase III of KNO$_3$, an unusual ferroelectric material
in which the nitrate groups rotate during polarization reversal. This material
was one of several studied in a previous work [O. Di\'eguez and D. Vanderbilt,
Phys. Rev. Lett. {\bf 96}, 056401 (2006)] where methods were described for
computing curves of energy versus electric polarization. In the present work we
extend and systematize the previous first-principles calculations on KNO$_3$,
and analyze in detail a two-parameter model in which the energy of the system
is written as a low-order expansion in the polarization and the nitrate group
orientation. We confirm that this model reproduces the first-principles results
for KNO$_3$ very well and construct its parameter-space phase diagram,
describing regions where unusual triple-well potentials appear. We also present
first-principles calculations of KNO$_3$ under pressure, finding that its
energy-versus-polarization curves change character by developing a
first-derivative discontinuity at zero polarization.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:22:38 GMT"
},
{
"version": "v2",
"created": "Tue, 17 Jul 2007 16:18:17 GMT"
}
] | 2009-12-22T00:00:00 | [
[
"Dieguez",
"Oswaldo",
""
],
[
"Vanderbilt",
"David",
""
]
] |
0706.2367 | Sylvain Brechet | S. D. Brechet, M. P. Hobson, A. N. Lasenby | Weyssenhoff fluid dynamics in general relativity using a 1+3 covariant
approach | 20 pages | Class.Quant.Grav.24:6329-6348,2007 | 10.1088/0264-9381/24/24/011 | null | gr-qc astro-ph | null | The Weyssenhoff fluid is a perfect fluid with spin where the spin of the
matter fields is the source of torsion in an Einstein-Cartan framework. Obukhov
and Korotky showed that this fluid can be described as an effective fluid with
spin in general relativity. A dynamical analysis of such a fluid is performed
in a gauge invariant manner using the 1+3 covariant approach. This yields the
propagation and constraint equations for the set of dynamical variables. A
verification of these equations is performed for the special case of
irrotational flow with zero peculiar acceleration by evolving the constraints.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:27:05 GMT"
},
{
"version": "v2",
"created": "Tue, 13 Nov 2007 10:39:28 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Brechet",
"S. D.",
""
],
[
"Hobson",
"M. P.",
""
],
[
"Lasenby",
"A. N.",
""
]
] |
0706.2368 | Peng Gao | Peng Gao | A Note on Carleman's Inequality | 5 pages | null | null | null | math.CA | null | We study a weighted version of Carleman's inequality via Carleman's original
approach. As an application of our result, we prove a conjecture of Bennett.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:34:56 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Gao",
"Peng",
""
]
] |
0706.2369 | Sergei Gukov | Sergei Gukov | Surface Operators and Knot Homologies | 37 pages. Based on a talk given at the ICMP 2006 and at the RTN
Workshop 2006 | null | 10.1002/prop.200610385 | null | hep-th math.GT math.QA | null | Topological gauge theories in four dimensions which admit surface operators
provide a natural framework for realizing homological knot invariants. Every
such theory leads to an action of the braid group on branes on the
corresponding moduli space. This action plays a key role in the construction of
homological knot invariants. We illustrate the general construction with
examples based on surface operators in N=2 and N=4 twisted gauge theories which
lead to a categorification of the Alexander polynomial, the equivariant knot
signature, and certain analogs of the Casson invariant.
This paper is based on a lecture delivered at the International Congress on
Mathematical Physics 2006, Rio de Janeiro, and at the RTN Workshop 2006,
Napoli.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 18:43:45 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Gukov",
"Sergei",
""
]
] |
0706.2370 | William Ott | William Ott | Strange attractors in periodically-kicked degenerate Hopf bifurcations | 16 pages | null | 10.1007/s00220-008-0499-0 | null | math.DS math-ph math.MP | null | We prove that spiral sinks (stable foci of vector fields) can be transformed
into strange attractors exhibiting sustained, observable chaos if subjected to
periodic pulsatile forcing. We show that this phenomenon occurs in the context
of periodically-kicked degenerate supercritical Hopf bifurcations. The results
and their proofs make use of a new multi-parameter version of the theory of
rank one maps developed by Wang and Young.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:43:17 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Ott",
"William",
""
]
] |
0706.2371 | A. D. Alhaidari | I. Nasser, M. S. Abdelmonem, H. Bahlouli, A. D. Alhaidari | The rotating Morse potential model for diatomic molecules in the
tridiagonal J-matrix representation: I. Bound states | 18 Pages, 6 Tables, 4 Figures | Journal of Physics B: Atomic, Molecular and Optical Physics 40.21
(2007) 4245-4257 | 10.1088/0953-4075/40/21/011 | null | physics.chem-ph physics.atom-ph | null | This is the first in a series of articles in which we study the rotating
Morse potential model for diatomic molecules in the tridiagonal J-matrix
representation. Here, we compute the bound states energy spectrum by
diagonalizing the finite dimensional Hamiltonian matrix of H2, LiH, HCl and CO
molecules for arbitrary angular momentum. The calculation was performed using
the J-matrix basis that supports a tridiagonal matrix representation for the
reference Hamiltonian. Our results for these diatomic molecules have been
compared with available numerical data satisfactorily. The proposed method is
handy, very efficient, and it enhances accuracy by combining analytic power
with a convergent and stable numerical technique.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:47:32 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"Nasser",
"I.",
""
],
[
"Abdelmonem",
"M. S.",
""
],
[
"Bahlouli",
"H.",
""
],
[
"Alhaidari",
"A. D.",
""
]
] |
0706.2372 | Lesfari Ahmed | A. Lesfari | Prym varieties and applications | 30 Pages | null | 10.1016/j.geomphys.2008.04.005 | null | math.AG math-ph math.MP | null | The classical definition of Prym varieties deals with the unramified covers
of curves. The aim of the present paper is to give explicit algebraic
descriptions of the Prym varieties associated to ramified double covers of
algebraic curves. We make a careful study of the connection with the concept of
algebraic completely integrable systems and we apply the methods to some
problems of Mathematical Physics.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:52:39 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Lesfari",
"A.",
""
]
] |
0706.2373 | Manuel Castellanos Beltran | M. A. Castellanos-Beltran and K. W. Lehnert | A widely tunable parametric amplifier based on a SQUID array resonator | 9 pages, 4 figures, submitted to Applied Physics Letters | Widely tunable parametric amplifier based on a superconducting
quantum interference device array resonator M. A. Castellanos-Beltran and K.
W. Lehnert, Appl. Phys. Lett. 91, 083509 (2007) | 10.1063/1.2773988 | null | cond-mat.supr-con cond-mat.mes-hall | null | We create a Josephson parametric amplifier from a transmission line resonator
whose inner conductor is made from a series SQUID array. By changing the
magnetic flux through the SQUID loops, we are able to adjust the circuit's
resonance frequency and, consenquently, the center of the amplified band,
between 4 and 7.8 GHz. We observe that the amplifier has gains as large as 28
dB and infer that it adds less than twice the input vacuum noise.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 20:55:49 GMT"
}
] | 2008-11-17T00:00:00 | [
[
"Castellanos-Beltran",
"M. A.",
""
],
[
"Lehnert",
"K. W.",
""
]
] |
0706.2374 | Mark S. Marley | Richard S. Freedman, Mark S. Marley, Katharina Lodders | Line and Mean Opacities for Ultracool Dwarfs and Extrasolar Planets | 32 pages, 6 figures, accepted for publication in Astrphysical Journal
Supplement, units revised, now includes on-line only data files (available in
"source" package from "other formats" link) | null | 10.1086/521793 | null | astro-ph | null | Opacities and chemical abundance data are crucial ingredients of ultracool
dwarf and extrasolar giant planet atmosphere models. We report here on the
detailed sources of molecular opacity data employed by our group for this
application. We also present tables of Rosseland and Planck mean opacities
which are of use in some studies of the atmospheres, interiors, and evolution
of planets and brown dwarfs. For the tables presented here we have included the
opacities of important atomic and molecular species, including the alkali
elements, pressure induced absorption by hydrogen, and other significant
opacity sources but neglect opacity from condensates. We report for each
species how we have assembled molecular line data from a combination of public
databases, laboratory data that is not yet in the public databases, and our own
numerical calculations. We combine these opacities with abundances computed
from a chemical equilibrium model using recently revised solar abundances to
compute mean opacities. The chemical equilibrium calculation accounts for the
settling of condensates in a gravitational field, and is applicable to
ultracool dwarf and extrasolar planetary atmospheres, but not circumstellar
disks. We find that the inclusion of alkali atomic opacity substantially
increases the mean opacities over those currently in the literature at
densities relevant to the atmospheres and interiors of giant planets and brown
dwarfs. We provide our opacity tables for public use and discuss their
limitations.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 21:11:09 GMT"
},
{
"version": "v2",
"created": "Thu, 19 Jul 2007 18:44:49 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Freedman",
"Richard S.",
""
],
[
"Marley",
"Mark S.",
""
],
[
"Lodders",
"Katharina",
""
]
] |
0706.2375 | Daniel J. H. Chung | Daniel J. H. Chung, Lisa L. Everett, Kyoungchul Kong, Konstantin T.
Matchev | Connecting LHC, ILC, and Quintessence | 38 pages, 9 figures | JHEP 0710:016,2007 | 10.1088/1126-6708/2007/10/016 | MADPH-07-1493, FERMILAB-PUB-07-194-T, UFIFT-HEP-07-7 | hep-ph astro-ph hep-th | null | If the cold dark matter consists of weakly interacting massive particles
(WIMPs), anticipated measurements of the WIMP properties at the Large Hadron
Collider (LHC) and the International Linear Collider (ILC) will provide an
unprecedented experimental probe of cosmology at temperatures of order 1 GeV.
It is worth emphasizing that the expected outcome of these tests may or may not
be consistent with the picture of standard cosmology. For example, in
kination-dominated quintessence models of dark energy, the dark matter relic
abundance can be significantly enhanced compared to that obtained from freeze
out in a radiation-dominated universe. Collider measurements then will
simultaneously probe both dark matter and dark energy. In this article, we
investigate the precision to which the LHC and ILC can determine the dark
matter and dark energy parameters under those circumstances. We use an
illustrative set of four benchmark points in minimal supergravity in analogy
with the four LCC benchmark points. The precision achievable together at the
LHC and ILC is sufficient to discover kination-dominated quintessence, under
the assumption that the WIMPs are the only dark matter component. The LHC and
ILC can thus play important roles as alternative probes of both dark matter and
dark energy.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 21:05:27 GMT"
},
{
"version": "v2",
"created": "Tue, 9 Oct 2007 21:42:04 GMT"
}
] | 2009-10-09T00:00:00 | [
[
"Chung",
"Daniel J. H.",
""
],
[
"Everett",
"Lisa L.",
""
],
[
"Kong",
"Kyoungchul",
""
],
[
"Matchev",
"Konstantin T.",
""
]
] |
0706.2376 | Andy Boden | A.F. Boden, G. Torres, A.I. Sargent, R.L. Akeson, J.M. Carpenter, D.A.
Boboltz, M. Massi, A. M. Ghez, D.W. Latham, K.J Johnston, K.M. Menten, E. Ros | Dynamical Masses for Pre-Main Sequence Stars: A Preliminary Physical
Orbit for V773 Tau A | ApJ in press; 25 pages, 6 figures; data tables available in journal
version | null | 10.1086/521296 | null | astro-ph | null | We report on interferometric and radial-velocity observations of the
double-lined 51-d period binary (A) component of the quadruple pre-main
sequence (PMS) system V773 Tau. With these observations we have estimated
preliminary visual and physical orbits of the V773 Tau A subsystem. Among other
parameters, our orbit model includes an inclination of 66.0 $\pm$ 2.4 deg, and
allows us to infer the component dynamical masses and system distance. In
particular we find component masses of 1.54 $\pm$ 0.14 and 1.332 $\pm$ 0.097
M$_{\sun}$ for the Aa (primary) and Ab (secondary) components respectively.
Our modeling of the subsystem component spectral energy distributions finds
temperatures and luminosities consistent with previous studies, and coupled
with the component mass estimates allows for comparison with PMS stellar models
in the intermediate-mass range. We compare V773 Tau A component properties with
several popular solar-composition models for intermediate-mass PMS stars. All
models predict masses consistent to within 2-sigma of the dynamically
determined values, though some models predict values that are more consistent
than others.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 21:54:01 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Boden",
"A. F.",
""
],
[
"Torres",
"G.",
""
],
[
"Sargent",
"A. I.",
""
],
[
"Akeson",
"R. L.",
""
],
[
"Carpenter",
"J. M.",
""
],
[
"Boboltz",
"D. A.",
""
],
[
"Massi",
"M.",
""
],
[
"Ghez",
"A. M.",
""
],
[
"Latham",
"D. W.",
""
],
[
"Johnston",
"K. J",
""
],
[
"Menten",
"K. M.",
""
],
[
"Ros",
"E.",
""
]
] |
0706.2377 | Alejandro Ayala | Alejandro Ayala (ICN-UNAM), J. Magnin (CBPF), Luis Manuel Montano
(CINVESTAV) and Eduardo Rojas (ICN-UNAM) | Collisional parton energy loss in a finite size QCD medium revisited:
Off mass-shell effects | 9 pages, 4 figures. Enlarged discussion. References added. Version to
appear in Phys. Rev. C | Phys.Rev.C77:044904,2008 | 10.1103/PhysRevC.77.044904 | null | hep-ph | null | We study the collisional energy loss mechanism for particles produced off
mass-shell in a finite size QCD medium. The off mass-shell effects introduced
are to consider particles produced in wave packets instead of plane waves and
the length scale associated to an in-medium particles' life-time. We show that
these effects reduce the energy loss as compared to the case when the particles
are described as freely propagating from the source. The reduction of the
energy loss is stronger as this scale becomes of the order or smaller than the
medium size. We discuss possible consequences of the result on the description
of the energy loss process in the parton recombination scenario.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 22:08:12 GMT"
},
{
"version": "v2",
"created": "Tue, 25 Mar 2008 18:41:52 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Ayala",
"Alejandro",
"",
"ICN-UNAM"
],
[
"Magnin",
"J.",
"",
"CBPF"
],
[
"Montano",
"Luis Manuel",
"",
"CINVESTAV"
],
[
"Rojas",
"Eduardo",
"",
"ICN-UNAM"
]
] |
0706.2378 | Rodolfo H. Barb\'a | Rodolfo H. Barb\'a (1) and Julia I. Arias (1,2) ((1) Departamento de
F\'isica, Universidad de La Serena, Chile (2) Facultad de Ciencias
Astron\'omicas y Geof\'isicas, Universidad Nacional de La Plata, Argentina) | Geysers in the Lagoon: new Herbig-Haro objects in M8 | 9 pages, 6 postscript figures (one in color). Accepted, Astronomy and
Astrophysics | Astron.Astrophys.471:841-847,2007 | 10.1051/0004-6361:20066081 | null | astro-ph | null | Aims: We search for direct evidence of ongoing star formation by accretion in
the Lagoon Nebula (M8), using optical wide-field narrow-band imaging obtained
at La Silla Observatory.
Methods: We examine [SII] and Halpha images for line-emission features that
could be interpreted as signatures of outflow activity of the exciting sources.
Results: We discover five new Herbig-Haro objects, study in detail their
morphology and attempt to identify their potential driving sources among the
population of T Tauri stars and embedded sources in the surroundings.
Conclusions: The results reported here conclusively demonstrate the existence
of very young stars going through the accreting phase in the M8 region.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 22:13:25 GMT"
}
] | 2016-08-14T00:00:00 | [
[
"Barbá",
"Rodolfo H.",
""
],
[
"Arias",
"Julia I.",
""
]
] |
0706.2379 | Junji Jia | F.A. Chishtie, Junji Jia, D.G.C. McKeon | The Derivative Expansion of the Effective Action and the Renormalization
Group Equation | Latex; 12 pages; no figure; typos corrected; references revised;
journal version | Phys.Rev.D76:105006,2007 | 10.1103/PhysRevD.76.105006 | UWO-TH-07/12 | hep-th | null | The perturbative evaluation of the effective action can be expanded in powers
of derivatives of the external field. We apply the renormalization group
equation to the term in the effective action that is second order in the
derivatives of the external field and all orders in a constant external field,
considering both massless scalar $\phi_4^4$ model and massless scalar
electrodynamics. A so-called ``on shell'' renormalization scheme permits one to
express this ``kinetic term'' for the scalar field entirely in terms of the
renormalization group functions appropriate for this scheme. These
renormalization group functions can be related to those associated with minimal
subtraction.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 22:14:08 GMT"
},
{
"version": "v2",
"created": "Fri, 9 Nov 2007 21:29:47 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Chishtie",
"F. A.",
""
],
[
"Jia",
"Junji",
""
],
[
"McKeon",
"D. G. C.",
""
]
] |
0706.2380 | Piotr Su{\l}kowski | Joanna I. Su{\l}kowska, Piotr Su{\l}kowski, Piotr Szymczak and Marek
Cieplak | Tightening of knots in proteins | 4 pages, 5 figures | Phys. Rev. Lett. 100, 058106 (2008) | 10.1103/PhysRevLett.100.058106 | null | q-bio.BM cond-mat.soft | null | We perform theoretical studies of stretching of 20 proteins with knots within
a coarse grained model. The knot's ends are found to jump to well defined
sequential locations that are associated with sharp turns whereas in
homopolymers they diffuse around and eventually slide off. The waiting times of
the jumps are increasingly stochastic as the temperature is raised. Larger
knots do not return to their native locations when a protein is released after
stretching.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 22:17:17 GMT"
}
] | 2008-04-01T00:00:00 | [
[
"Sułkowska",
"Joanna I.",
""
],
[
"Sułkowski",
"Piotr",
""
],
[
"Szymczak",
"Piotr",
""
],
[
"Cieplak",
"Marek",
""
]
] |
0706.2381 | Boris Shoikhet | Boris Shoikhet | Koszul duality in deformation quantization, I | LaTeX, 11 pages | null | null | null | math.QA | null | Let $\alpha$ be a polynomial Poisson bivector on a finite-dimensional vector
space $V$ over $\mathbb{C}$. Then Kontsevich [K97] gives a formula for a
quantization $f\star g$ of the algebra $S(V)^*$. We give a construction of an
algebra with the PBW property defined from $\alpha$ by generators and
relations. Namely, we define an algebra as the quotient of the free tensor
algebra $T(V^*)$ by relations $x_i\otimes x_j-x_j\otimes x_i=R_{ij}(\hbar)$
where $R_{ij}(\hbar)\in T(V^*)\otimes\hbar \mathbb{C}[[\hbar]]$, $R_{ij}=\hbar
\Sym(\alpha_{ij})+\mathcal{O}(\hbar^2)$, with one relation for each pair of
$i,j=1...\dim V$. We prove that the constructed algebra obeys the PBW property,
and this is a generalization of the Poincar\'{e}-Birkhoff-Witt theorem. In the
case of a linear Poisson structure we get the PBW theorem itself, and for a
quadratic Poisson structure we get an object closely related to a quantum
$R$-matrix on $V$. At the same time we get a free resolution of the deformed
algebra (for an arbitrary $\alpha$).
The construction of this PBW algebra is rather simple, as well as the proof
of the PBW property. The major efforts should be undertaken to prove the
conjecture that in this way we get an algebra isomorphic to the Kontsevich
star-algebra.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 22:27:59 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Shoikhet",
"Boris",
""
]
] |
0706.2382 | Michael Kramer | N. Wex, M. Kramer (University of Manchester, Jodrell Bank Centre for
Astrophysics) | A characteristic observable signature of preferred frame effects in
relativistic binary pulsars | Accepted for publication in MNRAS, 12 pages, 5 figures, figures 3 and
5 in reduced quality due to size limitations | null | 10.1111/j.1365-2966.2007.12093.x | null | astro-ph | null | In this paper we develop a consistent, phenomenological methodology to
measure preferred-frame effects (PFEs) in binary pulsars that exhibit a high
rate of periastron advance. We show that in these systems the existence of a
preferred frame for gravity leads to an observable characteristic `signature'
in the timing data, which uniquely identifies this effect. We expand the
standard Damour-Deruelle timing formula to incorporate this `signature' and
show how this new PFE timing model can be used to either measure or constrain
the parameters related to a violation of the local Lorentz invariance of
gravity in the strong internal fields of neutron stars. In particular, we
demonstrate that in the presence of PFEs we expect a set of the new timing
parameters to have a unique relationship that can be measured and tested
incontrovertibly. This new methodology is applied to the Double Pulsar, which
turns out to be the ideal test system for this kind of experiments.The
currently available dataset allows us only to study the impact of PFEs on the
orbital precession rate, d omega/dt, providing limits that are, at the moment,
clearly less stringent than existing limits on PFE strong-field parameters.
However, simulations show that the constraints improve fast in the coming
years, allowing us to study all new PFE timing parameters and to check for the
unique relationship between them. Finally, we show how a combination of several
suitable systems in a "PFE antenna array", expected to be availabe for instance
with the Square-Kilometre-Array (SKA), provides full sensitivity to possible
violations of local Lorentz invariance in strong gravitational fields in all
directions of the sky. This PFE antenna array may eventually allow us to
determine the direction of a preferred frame should it exist.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 22:40:27 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Wex",
"N.",
"",
"University of Manchester, Jodrell Bank Centre for\n Astrophysics"
],
[
"Kramer",
"M.",
"",
"University of Manchester, Jodrell Bank Centre for\n Astrophysics"
]
] |
0706.2383 | Jason Locasale W | Jason W. Locasale | Allovalency revisited: an analysis of multisite phosphorylation and
substrate rebinding | 44 pages, 5 figures; accepted Journal of Chemical Physics | null | 10.1063/1.2841124 | null | q-bio.SC q-bio.MN | null | The utilization of multiple phosphorylation sites in regulating a biological
response is ubiquitous in cell signaling. If each site contributes an
additional, equivalent binding site, then one consequence of an increase in the
number of phosphorylations may be to increase the probability that, upon
disassociation, a ligand immediately rebinds to its receptor. How such effects
may influence cell signaling systems has been less studied. Here, a
self-consistent integral equation formalism for ligand rebinding, in
conjunction with Monte Carlo simulations, is employed to further investigate
the effects of multiple, equivalent binding sites on shaping biological
responses. Multiple regimes that characterize qualitatively different physics
due to the differential prevalence of rebinding effects are predicted.
Calculations suggest that when ligand rebinding contributes significantly to
the dose response, a purely allovalent model can influence the binding curves
nonlinearly. The model also predicts that ligand rebinding in itself appears
insufficient to generative a highly cooperative biological response.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 22:49:09 GMT"
},
{
"version": "v2",
"created": "Tue, 19 Jun 2007 13:14:07 GMT"
},
{
"version": "v3",
"created": "Mon, 25 Jun 2007 17:35:08 GMT"
},
{
"version": "v4",
"created": "Wed, 9 Jan 2008 22:17:27 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Locasale",
"Jason W.",
""
]
] |
0706.2384 | Rafe Jones | Rafe Jones and Jeremy Rouse | Galois theory of iterated endomorphisms | 33 pages; The appendix has been updated, several examples have been
redone, and a number of typos corrected. The paper has been accepted for
publication in Proceedings of the London Mathematical Society | Proc. Lond. Math. Soc 100(3) (2010), 763-794 | 10.1112/plms/pdp051 | null | math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given an abelian algebraic group $A$ over a global field $F$, $\alpha \in
A(F)$, and a prime $\ell$, the set of all preimages of $\alpha$ under some
iterate of $[\ell]$ generates an extension of $F$ that contains all
$\ell$-power torsion points as well as a Kummer-type extension. We analyze the
Galois group of this extension, and for several classes of $A$ we give a simple
characterization of when the Galois group is as large as possible up to
constraints imposed by the endomorphism ring or the Weil pairing. This Galois
group encodes information about the density of primes $\p$ in the ring of
integers of $F$ such that the order of $(\alpha \bmod{\p})$ is prime to $\ell$.
We compute this density in the general case for several classes of $A$,
including elliptic curves and one-dimensional tori. For example, if $F$ is a
number field, $A/F$ is an elliptic curve with surjective 2-adic representation
and $\alpha \in A(F)$ with $\alpha \not\in 2A(F(A[4]))$, then the density of
$\mathfrak{p}$ with ($\alpha \bmod{\p}$) having odd order is 11/21.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 23:13:53 GMT"
},
{
"version": "v2",
"created": "Mon, 23 Jul 2007 16:10:09 GMT"
},
{
"version": "v3",
"created": "Thu, 25 Jun 2009 16:43:55 GMT"
},
{
"version": "v4",
"created": "Sat, 7 Nov 2009 21:22:21 GMT"
}
] | 2012-01-27T00:00:00 | [
[
"Jones",
"Rafe",
""
],
[
"Rouse",
"Jeremy",
""
]
] |
0706.2385 | Philip Harding | Philip J. Harding, Tijmen G. Euser, Yoanna-Reine Nowicki-Bringuier,
Jean-Michel Gerard, and Willem L. Vos | Dynamical ultrafast all-optical switching of planar GaAs/AlAs photonic
microcavities | 1.) Replaced figure 1 (linear reflectivity) with a more recent and
improved measurement 2.) Included a Figure of Merit for switching and
compared to other recent contributions 3.) Explained more precisely the
effect of embedded Quantum Dots (namely no effect on measurement) 4.) Changed
wording in a few places | Appl. Phys. Lett. 91, 111103 (2007) | 10.1063/1.2779106 | null | physics.optics | null | The authors study the ultrafast switching-on and -off of planar GaAs/AlAs
microcavities. Up to 0.8% refractive index changes are achieved by optically
exciting free carriers at 1720 nm and a pulse energy of 1.8 micro Joules. The
cavity resonance is dynamically tracked by measuring reflectivity versus time
delay with tunable laser pulses, and is found to shift by as much as 3.3
linewidths within a few picoseconds. The switching-off occurs with a decay time
of around 50 ps. The authors derive the dynamic behavior of the carrier density
and of the complex refractive index. They propose that the inferred 10 GHz
switching rate may be tenfold improved by optimized sample growth.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 23:44:55 GMT"
},
{
"version": "v2",
"created": "Tue, 11 Sep 2007 15:17:49 GMT"
}
] | 2007-09-11T00:00:00 | [
[
"Harding",
"Philip J.",
""
],
[
"Euser",
"Tijmen G.",
""
],
[
"Nowicki-Bringuier",
"Yoanna-Reine",
""
],
[
"Gerard",
"Jean-Michel",
""
],
[
"Vos",
"Willem L.",
""
]
] |
0706.2386 | Javier Trujillo Bueno | Javier Trujillo Bueno and Nataliya Shchukina | The Scattering Polarization of the Sr I 4607 \AA Line at the Diffraction
Limit Resolution of a 1-m Telescope | Accepted for publication in The Astrophysical Journal Letters (12
pages and 2 color figures) | null | 10.1086/520838 | null | astro-ph | null | One of the greatest challenges in solar and stellar physics in coming years
will be to observe the Second Solar Spectrum with a spatial resolution
significantly better than 1 arcsec. This type of scattering polarization
observations would probably allow us to discover hitherto unknown aspects of
the Sun's hidden magnetism. Here we report on some theoretical predictions for
the photospheric line of Sr I at 4607 \AA, which we have obtained by solving
the three-dimensional (3D) radiative transfer problem of scattering line
polarization in a realistic hydrodynamical model of the solar photosphere. We
have taken into account not only the anisotropy of the radiation field in the
3D medium and the Hanle effect of a tangled magnetic field, but also the
symmetry breaking effects caused by the horizontal atmospheric inhomogeneities
produced by the solar surface convection. Interestingly, the Q/I and U/I linear
polarization signals of the emergent spectral line radiation have sizable
values and fluctuations, even at the very center of the solar disk where we
meet the forward scattering case. The ensuing small-scale patterns in Q/I and
U/I turn out to be sensitive to the assumed magnetic field model, and are of
great diagnostic value. We argue that it should be possible to observe them
with the help of a 1-m telescope equipped with adaptive optics and a suitable
polarimeter.
| [
{
"version": "v1",
"created": "Fri, 15 Jun 2007 23:52:00 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Bueno",
"Javier Trujillo",
""
],
[
"Shchukina",
"Nataliya",
""
]
] |
0706.2387 | Neil Harrison | N. Harrison, S. E. Sebastian, C. H. Mielke, A. Paris, M. J. Gordon, C.
A. Swenson, D. G. Rickel, M. D. Pacheco, P. F. Ruminer, J. B. Schillig, J. R.
Sims, A. H. Lacerda, M. T. Suzuki, H. Harima, and T. Ebihara | Fermi surface of CeIn3 above the Neel critical field | 4 pages | null | 10.1103/PhysRevLett.99.056401 | null | cond-mat.str-el cond-mat.mtrl-sci | null | We report measurements of the de Haas-van Alphen effect in CeIn3 in magnetic
fields extending to ~90 T, well above the Ne'el critical field of Hc ~61 T. The
unreconstructed Fermi surface a-sheet is observed in the high magnetic field
polarized paramagnetic limit, but with its effective mass and Fermi surface
volume strongly reduced in size compared to that observed in the low magnetic
field paramagnetic regime under pressure. The spheroidal topology of this sheet
provides an ideal realization of the transformation from a `large Fermi
surface' accommodating f-electrons to a `small Fermi surface' when the
f-electron moments become polarized.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 00:14:15 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Harrison",
"N.",
""
],
[
"Sebastian",
"S. E.",
""
],
[
"Mielke",
"C. H.",
""
],
[
"Paris",
"A.",
""
],
[
"Gordon",
"M. J.",
""
],
[
"Swenson",
"C. A.",
""
],
[
"Rickel",
"D. G.",
""
],
[
"Pacheco",
"M. D.",
""
],
[
"Ruminer",
"P. F.",
""
],
[
"Schillig",
"J. B.",
""
],
[
"Sims",
"J. R.",
""
],
[
"Lacerda",
"A. H.",
""
],
[
"Suzuki",
"M. T.",
""
],
[
"Harima",
"H.",
""
],
[
"Ebihara",
"T.",
""
]
] |
0706.2388 | Frank Simon | Frank Simon (for the STAR Collaboration) | Longitudinal Spin Measurements with Inclusive Hadrons in Polarized p+p
Collisions at 200 GeV | 4 pages, 2 figures, submitted to the proceedings of the XV
International Workshop in Deep-Inelastic Scattering (DIS2007), Munich,
Germany, April 16-20, 2007 | null | null | null | hep-ex | null | We present measurements of the double longitudinal spin asymmetries for
inclusive pi0 and pi+(-) production in polarized p+p collisions at sqrt(s) =
200 GeV at mid-rapidity with the STAR detector from the 2005 RHIC run. These
measurements are used to access Delta G/G, the gluon polarization in the
proton. The observed unpolarized inclusive cross sections show good agreement
with NLO pQCD calculations. The double longitudinal spin asymmetries are
compared to NLO pQCD calculations based on different assumptions for the gluon
polarization in the nucleon to provide constraints on Delta G/G. At the present
level of statistics the measured asymmetries disfavor a large positive gluon
polarization, but cannot yet distinguish between other scenarios.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 00:17:17 GMT"
}
] | 2019-08-13T00:00:00 | [
[
"Simon",
"Frank",
"",
"for the STAR Collaboration"
]
] |
0706.2389 | Julien Malzac | Julien Malzac | Models for microquasars | 15 pages, 3 figures, invited review at the Sixth Microquasar
workshop: Microquasars and Beyond, Como, Italy, September 18-22, 2006 | null | null | null | astro-ph | null | I review current models used to interpret the spectra and variability of
microquasars. Among other things, I discuss the structure of the accretion flow
and its dependence on mass accretion rate, the intrinsic connection between hot
comptonizing corona and compact radio jet in the hard state, as well as
possible models for the spectral hysteresis observed during outbursts of
transient sources. Finally I comment on several models for the non-poissonian
X-ray noise in black hole binaries which, at least in some instances, is
suspected to be associated with some form of coupling between disc and jet
activity.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 12:19:34 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Malzac",
"Julien",
""
]
] |
0706.2390 | Sergey V. Lototsky | S. V. Lototsky, B. L. Rozovskii | Stochastic Parabolic Equations of Full Second Order | null | null | null | null | math.PR math.AP | null | A procedure is described for defining a generalized solution for stochastic
differential equations using the Cameron-Martin version of the Wiener Chaos
expansion. Existence and uniqueness of this Wiener Chaos solution is
established for parabolic stochastic PDEs such that both the drift and the
diffusion operators are of the second order.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 01:06:55 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Lototsky",
"S. V.",
""
],
[
"Rozovskii",
"B. L.",
""
]
] |
0706.2391 | Sergey V. Lototsky | S. V. Lototsky and K. Stemmann | From Random Processes to Generalized Fields: A Unified Approach to
Stochastic Integration | null | null | null | null | math.PR | null | The paper studies stochastic integration with respect to Gaussian processes
and fields. It is more convenient to work with a field than a process: by
definition, a field is a collection of stochastic integrals for a class of
deterministic integrands. The problem is then to extend the definition to
random integrands. An orthogonal decomposition of chaos space of the random
field leads to two such extensions, corresponding to the \Ito-Skorokhod and the
Stratononovich integrals, and provides an efficient tool to study these
integrals, both analytically and numerically. For a Gaussian process, a natural
definition of the integral follows from a canonical correspondence between
random processes and a special class of random fields.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 01:14:44 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Lototsky",
"S. V.",
""
],
[
"Stemmann",
"K.",
""
]
] |
0706.2392 | Zhidong Hao | Zhidong Hao | New interpretation for energy gap $\Delta$ of the cut-off approximation
in the BCS theory of superconductivity | 6 pages, 7 figures | null | null | null | cond-mat.supr-con | null | This paper concerns the solution of the self-consistency equation for energy
gap parameter $\Delta_{\bf k}$ in the BCS theory of superconductivity. We show
that there exists a well-defined relation between the solution for energy gap
parameter amplitude $|\Delta_{\bf k}|$ for a general interaction $V_{{\bf
k},{\bf k}'}$ and energy gap $\Delta$ obtained by using the cut-off
approximation. The relation between $|\Delta_{\bf k}|$ and $\Delta$ indicates
that $\Delta$ is a weighted average over $|\Delta_{\bf k}|$ of electronic
states within cut-off energy $\xi_c$ around the Fermi surface. In this
interpretation for $\Delta$, $\xi_c$ is not a property of $V_{{\bf k},{\bf
k}'}$, but a parameter specifying the energy range within which the weighted
average over $|\Delta_{\bf k}|$ is taken. We show that the proper choice for
the value of $\xi_c$ is only a few $k_BT_c$ (i.e., $\xi_c/k_BT_c$ is about 3 or
4). We also show that the cut-off approximation, even with
$\xi_c/k_BT_c=\infty$, is a good approximation when it is used to calculate
quantities such as the condensation energy and the specific heat, but it leads
to significant overestimation for the Josephson critical current density of a
Josephson junction if $\xi_c/k_BT_c \gg 1$ is assumed.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 01:47:42 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Hao",
"Zhidong",
""
]
] |
0706.2393 | Hrayr Matevosyan | Hrayr H. Matevosyan, Anthony W. Thomas and Peter C. Tandy | Consequences Of Fully Dressing Quark-Gluon Vertex Function With
Two-Point Gluon Lines | null | J.Phys.G34:2153-2164,2007 | 10.1088/0954-3899/34/10/005 | JLAB-THY-07-656, KSUCNR-229-07 | nucl-th | null | We extend recent studies of the effects of quark-gluon vertex dressing upon
the solutions of the Dyson-Schwinger equation for the quark propagator. A
momentum delta function is used to represent the dominant infrared strength of
the effective gluon propagator so that the resulting integral equations become
algebraic. The quark-gluon vertex is constructed from the complete set of
diagrams involving only 2-point gluon lines. The additional diagrams, including
those with crossed gluon lines, are shown to make an important contribution to
the DSE solutions for the quark propagator, because of their large color
factors and the rapid growth in their number.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 01:47:55 GMT"
},
{
"version": "v2",
"created": "Mon, 27 Aug 2007 17:51:58 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Matevosyan",
"Hrayr H.",
""
],
[
"Thomas",
"Anthony W.",
""
],
[
"Tandy",
"Peter C.",
""
]
] |
0706.2394 | Zhidong Hao | Zhidong Hao | Theory for superconductivity in a magnetic field: A local approximation
approach | 16 pages, 11 figures | null | null | null | cond-mat.supr-con | null | We present a microscopic theory for superconductivity in a magnetic field
based on a local approximation approach. We derive an expression for free
energy density $F$ as a function of temperature $T$ and vector potential {\bf
a}, and two basic equations of the theory: the first is an implicit solution
for energy gap parameter amplitude $|\Delta_{\bf k}|$ as a function of wave
vector {\bf k}, temperature $T$ and vector potential {\bf a}; and the second is
a London-like relation between electrical current density {\bf j} and vector
potential {\bf a}, with an ``effective superconducting electron density'' $n_s$
that is both $T$- and {\bf a}-dependent. The two equations allow determination
of spatial variations of {\bf a} and $|\Delta_{\bf k}|$ in a superconductor for
given temperature $T$, applied magnetic field ${\bf H}_a$ and sample geometry.
The theory shows the existence of a ``partly-paired state,'' in which paired
electrons (having $|\Delta_{\bf k}|>0$) and de-paired electrons (having
$|\Delta_{\bf k}|=0$) co-exist. Such a ``partly-paired state'' exists even at
T=0 when $H_a$ is above a threshold for a given sample, giving rise to a
non-vanishing Knight shift at T=0 for $H_a$ above the threshold. We expect the
theory to be valid for highly-local superconductors for all temperatures and
magnetic fields below the superconducting transition. In the low-field limit,
the theory reduces to the local-limit result of BCS. As examples, we apply the
theory to the case of a semi-infinite superconductor in an applied magnetic
field ${\bf H}_a$ parallel to the surface of the superconductor and the case of
an isolated vortex in an infinite superconductor, and determine, in each case,
spatial variations of quantities such as {\bf a} and $|\Delta_{\bf k}|$. We
also calculate...
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 02:25:02 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Hao",
"Zhidong",
""
]
] |
0706.2395 | Charles Shapiro | Charles Shapiro (Chicago, KICP), Scott Dodelson (Chicago, FNAL) | Combining Weak Lensing Tomography with Halo Clustering to Probe Dark
Energy | 4 pages, 2 color figures. Revised text for clarity and for
resubmission to PhysRevD. Corrected error in our cluster counting Fisher
matrix; combined dark energy constraints are now weaker, but our conclusions
are the same | Phys.Rev.D76:083515,2007 | 10.1103/PhysRevD.76.083515 | null | astro-ph | null | Two methods of constraining the properties of dark energy are weak lensing
tomography and cluster counting. Uncertainties in mass calibration of clusters
can be reduced by using the properties of halo clustering (the clustering of
clusters). However, within a single survey, weak lensing and halo clustering
probe the same density fluctuations. We explore the question of whether this
information can be used twice -- once in weak lensing and then again in halo
clustering to calibrate cluster masses -- or whether the combined dark energy
constraints are weaker than the sum of the individual constraints. For a survey
like the Dark Energy Survey (DES), we find that the cosmic shearing of source
galaxies at high redshifts is indeed highly correlated with halo clustering at
lower redshifts. Surprisingly, this correlation does not degrade cosmological
constraints for a DES-like survey, and in fact, constraints are marginally
improved since the correlations themselves act as additional observables. This
considerably simplifies the analysis for a DES-like survey: when weak lensing
and halo clustering are treated as independent experiments, the combined dark
energy constraints (cluster counts included) are accurate if not slightly
conservative. Our findings mirror those of Takada and Bridle, who investigated
correlations between the cosmic shear and cluster counts.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 03:02:11 GMT"
},
{
"version": "v2",
"created": "Fri, 3 Aug 2007 16:48:54 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Shapiro",
"Charles",
"",
"Chicago, KICP"
],
[
"Dodelson",
"Scott",
"",
"Chicago, FNAL"
]
] |
0706.2396 | Vitaly Noskov | Vitaly Noskov | Model of embedded spaces: the field equations | 9 pages, 0 figures, to be published in "Gravitation&Cosmology" Vol.
13(2007) | Grav.Cosmol.13:127-132,2007 | null | null | gr-qc | null | A study of the Model of Embedded Spaces (MES) with a relativistic version of
Finslerian geometry is continued. The field equations of the MES (Einstein and
Maxwell types) are derived, and this formally completes geometrization of
classical electrodynamics. The minimal action principle leads to geometrization
of the field sources (the right-hand sides of the equations) and, as a
consequence, to a field hypothesis of matter, a direct confirmation of W.
Clifford's ideas.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 03:31:39 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Noskov",
"Vitaly",
""
]
] |
0706.2397 | Yi Song | Yi Song and Stephen P. Banks (Automatic Control & Systems Engineering,
University of Sheffield, UK) | Inversely Unstable Solutions of Two-Dimensional Systems on Genus-p
Surfaces and the Topology of Knotted Attractors | 19 pages with 20 figures, AMS La-TeX, to be published in
International Journal of Bifurcation and Chaos | null | 10.1142/S0218127408020173 | null | math.DS | null | In this paper, we will show that a periodic nonlinear, time-varying
dissipative system that is defined on a genus-p surface contains one or more
invariant sets which act as attractors. Moreover, we shall generalize a result
in [Martins, 2004] and give conditions under which these invariant sets are not
homeomorphic to a circle individually, which implies the existence of chaotic
behaviour. This is achieved by studying the appearance of inversely unstable
solutions within each invariant set.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 03:54:29 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Song",
"Yi",
"",
"Automatic Control & Systems Engineering,\n University of Sheffield, UK"
],
[
"Banks",
"Stephen P.",
"",
"Automatic Control & Systems Engineering,\n University of Sheffield, UK"
]
] |
0706.2398 | Vladimir Dzhunushaliev | Vladimir Dzhunushaliev | Toy models of a non-associative quantum mechanics | main formulas are colored | Advances in High Energy Physics, vol. 2007, Article ID 12387, 10
pages, 2007 | 10.1155/2007/12387 | null | quant-ph hep-ph hep-th math.RA | null | Toy models of a non-associative quantum mechanics are presented. The
Heisenberg equation of motion is modified using a non-associative commutator.
Possible physical applications of a non-associative quantum mechanics are
considered. The idea is discussed that a non-associative algebra could be the
operator language for the non-perturbative quantum theory. In such approach the
non-perturbative quantum theory has observables and unobservables quantities.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 05:34:47 GMT"
},
{
"version": "v2",
"created": "Mon, 2 Jul 2007 02:38:31 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Dzhunushaliev",
"Vladimir",
""
]
] |
0706.2399 | Yong-Seon Song | Yong-Seon Song, Hiranya Peiris, Wayne Hu (KICP, UChicago) | Cosmological Constraints on f(R) Acceleration Models | 8 pages, 7 figures | Phys.Rev.D76:063517,2007 | 10.1103/PhysRevD.76.063517 | null | astro-ph gr-qc | null | Models which accelerate the expansion of the universe through the addition of
a function of the Ricci scalar f(R) leave a characteristic signature in the
large-scale structure of the universe at the Compton wavelength scale of the
extra scalar degree of freedom. We search for such a signature in current
cosmological data sets: the WMAP cosmic microwave background (CMB) power
spectrum, SNLS supernovae distance measures, the SDSS luminous red galaxy power
spectrum, and galaxy-CMB angular correlations. Due to theoretical uncertainties
in the nonlinear evolution of f(R) models, the galaxy power spectrum
conservatively yields only weak constraints on the models despite the strong
predicted signature in the linear matter power spectrum. Currently the tightest
constraints involve the modification to the integrated Sachs-Wolfe effect from
growth of gravitational potentials during the acceleration epoch. This effect
is manifest for large Compton wavelengths in enhanced low multipole power in
the CMB and anti-correlation between the CMB and tracers of the potential. They
place a bound on the Compton wavelength of the field be less than of order the
Hubble scale.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 23:09:11 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Song",
"Yong-Seon",
"",
"KICP, UChicago"
],
[
"Peiris",
"Hiranya",
"",
"KICP, UChicago"
],
[
"Hu",
"Wayne",
"",
"KICP, UChicago"
]
] |
0706.2400 | Israel Quiros | Israel Quiros | Causality and Unitarity Are Not Violated in Space-Times with an
Additional Compact Time-like Dimension | 5 pages, no figures. Argument on the phenomenology of the extra
time-like dimension modified, references added | null | null | null | hep-ph gr-qc | null | The hypothesis that the causal properties of space-time, as well as other
properties of physical systems like unitarity, charge conservation, etc., might
be decided by the higher dimensional structure (in particular,
higher-dimensional physical laws), rather than by the four-dimensional one, is
explored in order to evade the most awkward problems of higher-dimensional
theories with compact extra time-like dimensions: violation of causality and of
unitarity.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 04:51:31 GMT"
},
{
"version": "v2",
"created": "Fri, 22 Jun 2007 03:15:09 GMT"
},
{
"version": "v3",
"created": "Tue, 26 Jun 2007 04:49:48 GMT"
}
] | 2007-06-26T00:00:00 | [
[
"Quiros",
"Israel",
""
]
] |
0706.2401 | Daijiro Suematsu | Daijiro Suematsu | Leptogenesis and dark matter unified in a non-SUSY model for neutrino
masses | 21 pages, 3 figures, extended version for publication, references
added | Eur.Phys.J.C56:379-387,2008 | 10.1140/epjc/s10052-008-0661-z | KANAZAWA-07-06 | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a unified explanation for the origin of dark matter and baryon
number asymmetry on the basis of a non-supersymmetric model for neutrino
masses. Neutrino masses are generated in two distinct ways, that is, a
tree-level seesaw mechanism with a single right-handed neutrino, and one-loop
radiative effects by a new additional doublet scalar. A spontaneously broken
U(1)$^\prime$ brings a $Z_2$ symmetry which restricts couplings of this new
scalar and controls the neutrino masses. It also guarantees the stability of a
CDM candidate. We examine two possible candidate for the CDM. We also show that
the decay of a heavy right-handed neutrino related to the seesaw mechanism can
generate baryon number asymmetry through leptogenesis.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 05:04:46 GMT"
},
{
"version": "v2",
"created": "Fri, 5 Sep 2008 05:11:20 GMT"
},
{
"version": "v3",
"created": "Tue, 16 Sep 2008 01:03:04 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Suematsu",
"Daijiro",
""
]
] |
0706.2402 | Sam Young Cho | Qian Qian Shi, Sam Young Cho, Bo Li, Mun Dae Kim | Realizable spin models and entanglement dynamics in superconducting flux
qubit systems | 5 pages, 2 figures | null | null | null | cond-mat.mes-hall | null | Realizable spin models are investigated in a two superconducting flux qubit
system. It is shown that a specific adjustment of system parameters in the two
flux qubit system makes it possible to realize an artificial two-spin system
that cannot be found naturally. For the artificial two-spin systems, time
evolution of a prepared quantum state is discussed to quantify quantum
entanglement dynamics. The concurrence and fidelity as a function of time are
shown to reveal a characteristic entanglement dynamics of the artificial spin
systems. It is found that the unentangled input state can evolute to be a
maximally entangled output state periodically due to the exchange interactions
induced by two-qubit flipping tunneling processes while single-qubit flipping
tunneling processes plays a role of magnetic fields for the artificial spins.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 05:51:51 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Shi",
"Qian Qian",
""
],
[
"Cho",
"Sam Young",
""
],
[
"Li",
"Bo",
""
],
[
"Kim",
"Mun Dae",
""
]
] |
0706.2403 | Vicentiu Radulescu | Roberta Filippucci, Patrizia Pucci, Vicentiu Radulescu (IMAR) | Existence and non-existence results for quasilinear elliptic exterior
problems with nonlinear boundary conditions | Communications in Partial Differential Equations, in press | null | null | null | math.AP | null | Existence and non-existence results are established for quasilinear elliptic
problems with nonlinear boundary conditions and lack of compactness. The proofs
combine variational methods with the geometrical feature, due to the
competition between the different growths of the non-linearities.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 06:00:59 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Filippucci",
"Roberta",
"",
"IMAR"
],
[
"Pucci",
"Patrizia",
"",
"IMAR"
],
[
"Radulescu",
"Vicentiu",
"",
"IMAR"
]
] |
0706.2404 | A. Rod Gover | A. Rod Gover and Josef Silhan | Commuting linear operators and algebraic decompositions | Proceedings of the winter school ``geometry and physics'' Srni, 2007;
17 pages | null | null | null | math.OA math.AP | null | For commuting linear operators $P_0,P_1,..., P_\ell$ we describe a range of
conditions which are weaker than invertibility. When any of these conditions
hold we may study the composition $P=P_0P_1... P_\ell$ in terms of the
component operators or combinations thereof. In particular the general
inhomogeneous problem $Pu=f$ reduces to a system of simpler problems. These
problems capture the structure of the solution and range spaces and, if the
operators involved are differential, then this gives an effective way of
lowering the differential order of the problem to be studied. Suitable systems
of operators may be treated analogously. For a class of decompositions the
higher symmetries of a composition $P$ may be derived from generalised
symmmetries of the component operators $P_i$ in the system.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 06:35:59 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Gover",
"A. Rod",
""
],
[
"Silhan",
"Josef",
""
]
] |
0706.2405 | Suresh Chandra | Suresh Chandra | Dispersion Relation for Alfven Waves in a Viscous, Diffusive Plasma | 4 pages | null | null | null | astro-ph | null | Propagation of Alfven waves in the solar plasma has been a topic of
scientific interest for a long time. We have derived a dispersion relation for
shear Alfven waves in a viscous and diffusive plasma.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 07:21:56 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Chandra",
"Suresh",
""
]
] |
0706.2406 | Sergey Radionov V | V.M.Kolomietz, S. {\AA}berg, S.V.Radionov | Collective motion in quantum diffusive environment | 15 pages, 5 figures | Phys.Rev.C77:014305,2008 | 10.1103/PhysRevC.77.014305 | null | nucl-th | null | The general problem of dissipation in macroscopic large-amplitude collective
motion and its relation to energy diffusion of intrinsic degrees of freedom of
a nucleus is studied. By applying the cranking approach to the nuclear
many-body system, a set of coupled dynamical equations for the collective
classical variable and the quantum mechanical occupancies of the intrinsic
nuclear states is derived. Different dynamical regimes of the intrinsic nuclear
motion and its consequences on time properties of collective dissipation are
discussed.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 07:49:03 GMT"
}
] | 2016-03-28T00:00:00 | [
[
"Kolomietz",
"V. M.",
""
],
[
"Åberg",
"S.",
""
],
[
"Radionov",
"S. V.",
""
]
] |
0706.2407 | Robert Dunford | R. W. Dunford, R. J. Holt | Parity violation in hydrogen revisited | This version contains minor modifications to several sections to
clarify some fine points. Also, several references have been added. 24 pages,
7 figures | J.Phys.G34:2099-2118,2007 | 10.1088/0954-3899/34/10/001 | null | hep-ph | null | We reconsider parity violation experiments in atomic hydrogen and deuterium
in the light of existing tests of the Electroweak interactions, and assess
whether new experiments, using improved experimental techniques, could make
useful contributions to testing the Standard Model (SM). We find that, if
parity experiments in hydrogen can be done, they remain highly desirable
because there is negligible atomic-physics uncertainty and low energy tests of
weak neutral current interactions are needed to probe for new physics beyond
the SM. Of particular interest would be a measurement of the nuclear spin
independent coupling C_{1D} for the deuteron at a combined error (theory +
experiment) of 0.3%. This would provide a factor of three improvement to the
precision on sin^2 theta_W at very low momentum transfer provided by heavy atom
Atomic Parity Violation (APV) experiments. Also, experiments in H and D could
provide precise measurements of three other electron-nucleon,
weak-neutral-current coupling constants: C_{1p}, C_{2p},and C_{2D}, which have
not been accurately determined to date. Analysis of a generic APV experiment in
deuterium indicates that a 0.3% measurement of C_{1D} requires development of a
slow (77K) metastable beam of ~ 5x10^14 D(2S) s^-1 per hyperfine component. The
advent of UV radiation from free electron laser (FEL) technology could allow
production of such a beam.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 09:43:15 GMT"
},
{
"version": "v2",
"created": "Thu, 8 Nov 2007 19:20:32 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Dunford",
"R. W.",
""
],
[
"Holt",
"R. J.",
""
]
] |
0706.2408 | Hong-fei Wang | Hong-tao Bian, Yi Rao, Yan-yan Xu, An-an Liu, Yuan Guo, and Hong-fei
Wang | A New Type of Two-photon Forward Radiation in Pure Liquids | 4 pages, 4 figures | null | null | null | physics.chem-ph physics.optics | null | Unexpected spectral features are observed in the two photon spectrum of the
pure water in the forward direction when an 80 femtosecond laser pulse is
focused at 10^10Wcm-2 or less. Such intensity is much lower than the breakdown
or stimulated threshold of the liquid water. The two broad features are about
2700cm-1 and 5000cm-1 red shifted from the hyper-Rayleigh wavelength,
respectively, and they are quadratic with the laser intensity. They do not
match the known Raman or hyper-Raman frequencies of water, and they are both
centered at a narrow angle in the forward direction. Several other liquids also
exhibited similar but molecular specific spectral features.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 10:12:44 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Bian",
"Hong-tao",
""
],
[
"Rao",
"Yi",
""
],
[
"Xu",
"Yan-yan",
""
],
[
"Liu",
"An-an",
""
],
[
"Guo",
"Yuan",
""
],
[
"Wang",
"Hong-fei",
""
]
] |
0706.2409 | Mikhail Sodin | Fedor Nazarov and Mikhail Sodin | On the Number of Nodal Domains of Random Spherical Harmonics | 20 pages | Amer. J. Math. 131 (2009), no. 5, 1337-1357 | null | null | math-ph math.MP math.PR | null | Let N(f) be a number of nodal domains of a random Gaussian spherical harmonic
f of degree n. We prove that as n grows to infinity, the mean of N(f)/n^2 tends
to a positive constant, and that N(f)/n^2 exponentially concentrates around
that constant.
This result is consistent with predictions made by Bogomolny and Schmit using
a percolation-like model for nodal domains of random Gaussian plane waves.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 13:23:42 GMT"
}
] | 2016-12-21T00:00:00 | [
[
"Nazarov",
"Fedor",
""
],
[
"Sodin",
"Mikhail",
""
]
] |
0706.2410 | Wung-Hong Huang | Wung-Hong Huang | On the Supergravity Description of Wilson Loop in Non-commutative Dipole
Field Theory | Pages 12 and 13 are the very short version of ''Erratum to Phys.
Lett. B647 (2007) 519''. Pages 1-11 contain detailed calculations and
extended discussions | Phys. Lett. B 652 (2007) 388-389 | 10.1016/j.physletb.2007.07.020 | null | hep-th | null | The Wilson loop in the non-commutative dipole field theory is re-examined
within the framework of dual gravity description. In contrast to the previous
investigations, we let the dual string be moving along the deformed $S^5$ and
find the exact expression of the interquark potential. The potential shows a
Coulomb behavior at all distance and does not have a minimum distance between
quarks, which exhibits in the static configuration. After comparing the
potential of the static and moving configurations we find that while the dual
string is static at long distance it will transit to a moving configuration at
short distance. We also analyze an electric dipole system and find that it
shows a similar transition property. Finally, we mention the unsuitable
approximation made in the previous paper [hep-th/0701069] and find that the
interquark potential in a gauge theory with a non-constant non-commutativity
has a Coulomb behavior at all distance.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 10:27:14 GMT"
},
{
"version": "v2",
"created": "Fri, 31 Aug 2007 03:14:02 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Huang",
"Wung-Hong",
""
]
] |
0706.2411 | Egor Babaev | Egor Babaev and N.W. Ashcroft | Violation of the London Law and Onsager-Feynman quantization in
multicomponent superconductors | Nature Physics in print. This is an early version of the paper. The
final version will be posted 6 months after its publication Nature Physics,
according to the journal policy | Nature Physics 3, 530 - 533 (2007) | 10.1038/nphys646 | null | cond-mat.supr-con astro-ph hep-ph | null | Non-classical response to rotation is a hallmark of quantum ordered states
such as superconductors and superfluids. The rotational responses of all
currently known single-component "super" states of matter (superconductors,
superfluids and supersolids) are largely described by two fundamental
principles and fall into two categories according to whether the systems are
composed of charged or neutral particles: the London law relating the angular
velocity to a subsequently established magnetic field and the Onsager-Feynman
quantization of superfluid velocity. These laws are theoretically shown to be
violated in a two-component superconductor such as the projected liquid
metallic states of hydrogen and deuterium at high pressures. The rotational
responses of liquid metallic hydrogen or deuterium identify them as a new class
of dissipationless states; they also directly point to a particular
experimental route for verification of their existence.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 16:56:08 GMT"
}
] | 2008-01-07T00:00:00 | [
[
"Babaev",
"Egor",
""
],
[
"Ashcroft",
"N. W.",
""
]
] |
0706.2412 | Christian Corda cordac | Christian Corda | Generalized gauge-invariance for gravitational waves | This paper has been withdrawn by the author because an improved and
updated version has been put in the archive | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of this paper is to show the gauge-invariance on the response of
interferometers to gravitational waves (GWs). In this process, after a review
of results on the Tranverse-Traceless (TT) gauge, where, in general, the
theoretical computations on GWs are performed, which is due for completness, we
analyse the gauge of the local observer, which represents the gauge of a
laboratory environment on Earth. The gauge-invariance between the two gauges is
shown in its full angular and frequency dependences. In previous works in the
literature this gauge-invariance was shown only in the low frequencies
approximation or in the simplest geometry of the interferometer in respect to
the propagating GW (i.e. both of the arms of the interferometer are
perpendicular to the propagating GW). As far as the computation of the response
functions in the gauge of the local observer is concerned, a common
misconception about interferometers is also clarifed.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 10:43:36 GMT"
},
{
"version": "v2",
"created": "Fri, 30 May 2008 13:24:47 GMT"
},
{
"version": "v3",
"created": "Mon, 15 Sep 2008 05:14:55 GMT"
},
{
"version": "v4",
"created": "Thu, 18 Sep 2008 09:42:54 GMT"
},
{
"version": "v5",
"created": "Thu, 16 Oct 2008 13:30:16 GMT"
},
{
"version": "v6",
"created": "Thu, 24 Mar 2011 15:26:44 GMT"
}
] | 2011-03-25T00:00:00 | [
[
"Corda",
"Christian",
""
]
] |
0706.2413 | Emily SC Ching | Roberto Benzi, Emily S. C. Ching, Elisabetta De Angelis and Itamar
Procaccia | Comparison of Theory and Direct Numerical Simulations of Drag Reduction
by Rodlike Polymers in Turbulent Channel Flows | null | null | 10.1103/PhysRevE.77.046309 | null | nlin.CD | null | Numerical simulations of turbulent channel flows, with or without additives,
are limited in the extent of the Reynolds number \Re and Deborah number \De.
The comparison of such simulations to theories of drag reduction, which are
usually derived for asymptotically high \Re and \De, calls for some care. In
this paper we present a study of drag reduction by rodlike polymers in a
turbulent channel flow using direct numerical simulation and illustrate how
these numerical results should be related to the recently developed theory.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 11:05:46 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Benzi",
"Roberto",
""
],
[
"Ching",
"Emily S. C.",
""
],
[
"De Angelis",
"Elisabetta",
""
],
[
"Procaccia",
"Itamar",
""
]
] |
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