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0704.2001
Nabil Youssef L
M. I. Wanas, N. L. Youssef and A. M. Sid-Ahmed
Geometry of Parallelizable Manifolds in the Context of Generalized Lagrange Spaces
20 pages, LaTeX file, Presented in "The International Conference on Finsler Extensions of Relativity Theory" held at Cairo, Egypt, November 4-10,2006. AMS Subject Classification: 53B40, 53A40, 53B50 (References have been modified)
Balkan J. Geom. Appl., 13,2 (2008), 120-139.
null
null
gr-qc math.DG
null
In this paper, we deal with a generalization of the geometry of parallelizable manifolds, or the absolute parallelism (AP-) geometry, in the context of generalized Lagrange spaces. All geometric objects defined in this geometry are not only functions of the positional argument $x$, but also depend on the directional argument $y$. In other words, instead of dealing with geometric objects defined on the manifold $M$, as in the case of classical AP-geometry, we are dealing with geometric objects in the pullback bundle $\pi^{-1}(TM)$ (the pullback of the tangent bundle $TM$ by $ \pi: T M\longrightarrow M$). Many new geometric objects, which have no counterpart in the classical AP-geometry, emerge in this more general context. We refer to such a geometry as generalized AP-geometry (GAP-geometry). In analogy to AP-geometry, we define a $d$-connection in $\pi^{-1}(TM)$ having remarkable properties, which we call the canonical $d$-connection, in terms of the unique torsion-free Riemannian $d$-connection. In addition to these two $d$-connections, two more $d$-connections are defined, the dual and the symmetric $d$-connections. Our space, therefore, admits twelve curvature tensors (corresponding to the four defined $d$-connections), three of which vanish identically. Simple formulae for the nine non-vanishing curvatures tensors are obtained, in terms of the torsion tensors of the canonical $d$-connection. The different $W$-tensors admitted by the space are also calculated. All contractions of the $h$- and $v$-curvature tensors and the $W$-tensors are derived. Second rank symmetric and skew-symmetric tensors, which prove useful in physical applications, are singled out.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 12:26:25 GMT" }, { "version": "v2", "created": "Fri, 30 Nov 2007 17:09:33 GMT" } ]
2008-05-02T00:00:00
[ [ "Wanas", "M. I.", "" ], [ "Youssef", "N. L.", "" ], [ "Sid-Ahmed", "A. M.", "" ] ]
0704.2002
Alexander Schekochihin
A. A. Schekochihin (Imperial), A. B. Iskakov (UCLA), S. C. Cowley (UCLA), J. C. McWilliams (UCLA), M. R. E. Proctor (Cambridge), T. A. Yousef (Cambridge)
Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers
IoP latex, 27 pages, 25 figures, 3 tables. Accepted by New J. Physics
New J.Phys.9:300,2007
10.1088/1367-2630/9/8/300
null
physics.flu-dyn astro-ph nlin.CD physics.plasm-ph
null
This paper is a detailed report on a programme of simulations used to settle a long-standing issue in the dynamo theory and demonstrate that the fluctuation dynamo exists in the limit of large magnetic Reynolds number Rm>>1 and small magnetic Prandtl number Pm<<1. The dependence of the critical Rm_c vs. the hydrodynamic Reynolds number Re is obtained for 1<Re<6700. In the limit Pm<<1, Rm_c is ~3 times larger than for Pm>1. The stability curve Rm_c(Re) (and, it is argued, the nature of the dynamo) is substantially different from the case of the simulations and liquid-metal experiments with a mean flow. It is not as yet possible to determine numerically whether the growth rate is ~Rm^{1/2} in the limit Re>>Rm>>1, as should be the case if the dynamo is driven by the inertial-range motions. The magnetic-energy spectrum in the low-Pm regime is qualitatively different from the Pm>1 case and appears to develop a negative spectral slope, although current resolutions are insufficient to determine its asymptotic form. At 1<Rm<Rm_c, the magnetic fluctuations induced via the tangling by turbulence of a weak mean field are investigated and the possibility of a k^{-1} spectrum above the resistive scale is examined. At low Rm<1, the induced fluctuations are well described by the quasistatic approximation; the k^{-11/3} spectrum is confirmed for the first time in direct numerical simulations.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 12:37:39 GMT" } ]
2014-11-18T00:00:00
[ [ "Schekochihin", "A. A.", "", "Imperial" ], [ "Iskakov", "A. B.", "", "UCLA" ], [ "Cowley", "S. C.", "", "UCLA" ], [ "McWilliams", "J. C.", "", "UCLA" ], [ "Proctor", "M. R. E.", "", "Cambridge" ], [ "Yousef", "T. A.", "", "Cambridge" ] ]
0704.2003
Fabrizio Lillo
Gabriella Vaglica, Fabrizio Lillo, Esteban Moro, Rosario N. Mantegna
Scaling laws of strategic behaviour and size heterogeneity in agent dynamics
6 pages, 3 figures
null
10.1103/PhysRevE.77.036110
null
q-fin.ST physics.soc-ph
null
The dynamics of many socioeconomic systems is determined by the decision making process of agents. The decision process depends on agent's characteristics, such as preferences, risk aversion, behavioral biases, etc.. In addition, in some systems the size of agents can be highly heterogeneous leading to very different impacts of agents on the system dynamics. The large size of some agents poses challenging problems to agents who want to control their impact, either by forcing the system in a given direction or by hiding their intentionality. Here we consider the financial market as a model system, and we study empirically how agents strategically adjust the properties of large orders in order to meet their preference and minimize their impact. We quantify this strategic behavior by detecting scaling relations of allometric nature between the variables characterizing the trading activity of different institutions. We observe power law distributions in the investment time horizon, in the number of transactions needed to execute a large order and in the traded value exchanged by large institutions and we show that heterogeneity of agents is a key ingredient for the emergence of some aggregate properties characterizing this complex system.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 12:38:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Vaglica", "Gabriella", "" ], [ "Lillo", "Fabrizio", "" ], [ "Moro", "Esteban", "" ], [ "Mantegna", "Rosario N.", "" ] ]
0704.2004
Oliver Melchert
O. Melchert and A. K. Hartmann
Fractal dimension of domain walls in two-dimensional Ising spin glasses
8 pages, 8 figures, submitted to Phys. Rev. B; v2: shortened version
null
10.1103/PhysRevB.76.174411
null
cond-mat.dis-nn
null
We study domain walls in 2d Ising spin glasses in terms of a minimum-weight path problem. Using this approach, large systems can be treated exactly. Our focus is on the fractal dimension $d_f$ of domain walls, which describes via $<\ell >\simL^{d_f}$ the growth of the average domain-wall length with %% systems size $L\times L$. %% 20.07.07 OM %% Exploring systems up to L=320 we yield $d_f=1.274(2)$ for the case of Gaussian disorder, i.e. a much higher accuracy compared to previous studies. For the case of bimodal disorder, where many equivalent domain walls exist due to the degeneracy of this model, we obtain a true lower bound $d_f=1.095(2)$ and a (lower) estimate $d_f=1.395(3)$ as upper bound. Furthermore, we study the distributions of the domain-wall lengths. Their scaling with system size can be described also only by the exponent $d_f$, i.e. the distributions are monofractal. Finally, we investigate the growth of the domain-wall width with system size (``roughness'') and find a linear behavior.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:06:00 GMT" }, { "version": "v2", "created": "Tue, 28 Aug 2007 12:45:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Melchert", "O.", "" ], [ "Hartmann", "A. K.", "" ] ]
0704.2005
Peter Schenzel
Peter Schenzel
On the formal cohomology of local rings
26 pages
null
null
null
math.AC math.AG
null
Let $\mathfrak a$ denote an ideal of a local ring $(R, \mathfrak m).$ Let $M$ be a finitely generated $R$-module. There is a systematic study of the formal cohomology modules $\varprojlim \HH^i(M/\mathfrak a^nM), i \in \mathbb Z.$ We analyze their $R$-module structure, the upper and lower vanishing and non-vanishing in terms of intrinsic data of $M,$ and its functorial behavior. These cohomology modules occur in relation to the formal completion of the punctured spectrum $\Spec R \setminus V(\mathfrak m).$ As a new cohomological data there is a description on the formal grade $\fgrade(\mathfrak a, M)$ defined as the minimal non-vanishing of the formal cohomology modules. There are various exact sequences concerning the formal cohomology modules. Among them a Mayer-Vietoris sequence for two ideals. It applies to new connectedness results. There are also relations to local cohomological dimensions.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 12:42:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Schenzel", "Peter", "" ] ]
0704.2006
M. C. Goorden
M. C. Goorden, M. Buttiker
Two-particle scattering matrix of two interacting mesoscopic conductors
4 pages, 2 figures
Phys. Rev. Lett. 99, 146801 (2007)
10.1103/PhysRevLett.99.146801
null
cond-mat.mes-hall
null
We consider two quantum coherent conductors interacting weakly via long range Coulomb forces. We describe the interaction in terms of two-particle collisions described by a two-particle scattering matrix. As an example we determine the transmission probability and correlations in a two-particle scattering experiment and find that the results can be expressed in terms of the density-of-states matrices of the non-interacting scatterers.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:29:23 GMT" }, { "version": "v2", "created": "Fri, 5 Oct 2007 07:21:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Goorden", "M. C.", "" ], [ "Buttiker", "M.", "" ] ]
0704.2007
Peter Schenzel
Peter Schenzel
On Lyubeznik's invariants and endomorphisms of local cohomology modules
Revised, extended and corrected version
null
null
null
math.AC math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $(R, \mathfrak m)$ denote an $n$-dimensional Gorenstein ring. For an ideal $I \subset R$ of height $c$ we are interested in the endomorphism ring $B = \Hom_R(H^c_I(R), H^c_I(R)).$ It turns out that $B$ is a commutative ring. In the case of $(R,\mathfrak m)$ a regular local ring containing a field $B$ is a Cohen-Macaulay ring. Its properties are related to the highest Lyubeznik number $l = \dim_k \Ext_R^d(k,H^c_I(R)).$ In particular $R \simeq B$ if and only if $l = 1.$ Moreover, we show that the natural homomorphism $\Ext_R^d(k, H^c_I(R)) \to k$ is non-zero.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 12:47:19 GMT" }, { "version": "v2", "created": "Tue, 17 Apr 2007 08:41:59 GMT" }, { "version": "v3", "created": "Thu, 7 May 2009 06:37:24 GMT" } ]
2009-05-07T00:00:00
[ [ "Schenzel", "Peter", "" ] ]
0704.2008
Valentin Rantsev-Kartinov A.
Valentin. A. Rantsev-Kartinov
Observations of Manifestations of Skeletal Structures of a Filamentary Matter on the Sun
10 pages, 5 figures, the materials of this paper was been partially published in Proc. Conf.: 32-th EPS on Plasma Phys. and Contr. Fusion, (2005); 4ICPDP, (2005); the 13th General Conference of the European Physical Society, (2005)
AIP Conf.Proc.799:287-290,2005
10.1063/1.2134621
null
astro-ph
null
The analysis of databases of photographic images of the Sun (obtained in region of soft x-ray) by means of a method of multilevel dynamical contrasting, has shown presence of skeletal structures of the Sun as outside (chromo-sphere flashes and powerful coronal mass ejections) and on the Sun (structures in its atmosphere, protuberances and of solar a stains). Moreover the structures which radius of rotation is less than radius of a solar disk on breadth of their observation have been revealed. On the basis of the obtained results of this analysis, the author puts forward a hypothesis about an opportunity of existence of some filamentary matter as inside, so outside of the Sun.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 12:59:49 GMT" } ]
2009-06-23T00:00:00
[ [ "Rantsev-Kartinov", "Valentin. A.", "" ] ]
0704.2009
Hsian-Hua Tseng
Yunfeng Jiang, Hsian-Hua Tseng
On Virasoro Constraints for Orbifold Gromov-Witten Theory
Typos and mistakes corrected
International Mathematics Research Notices, Vol. 2010, no. 4, 756--781
null
null
math.AG math.SG
null
Virasoro constraints for orbifold Gromov-Witten theory are described. These constraints are applied to the degree zreo, genus zero orbifold Gromov-Witten potentials of the weighted projective stacks $\mathbb{P}(1,N)$, $\mathbb{P}(1,1,N)$ and $\mathbb{P}(1,1,1,N)$ to obtain formulas of descendant cyclic Hurwitz-Hodge integrals.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:03:51 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 12:35:40 GMT" }, { "version": "v3", "created": "Mon, 21 May 2007 23:03:26 GMT" } ]
2010-04-09T00:00:00
[ [ "Jiang", "Yunfeng", "" ], [ "Tseng", "Hsian-Hua", "" ] ]
0704.2010
Juliana Bernardes
Juliana S Bernardes, Alberto Davila, Vitor Santos Costa, Gerson Zaverucha
A study of structural properties on profiles HMMs
6 pages, 7 figures
null
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivation: Profile hidden Markov Models (pHMMs) are a popular and very useful tool in the detection of the remote homologue protein families. Unfortunately, their performance is not always satisfactory when proteins are in the 'twilight zone'. We present HMMER-STRUCT, a model construction algorithm and tool that tries to improve pHMM performance by using structural information while training pHMMs. As a first step, HMMER-STRUCT constructs a set of pHMMs. Each pHMM is constructed by weighting each residue in an aligned protein according to a specific structural property of the residue. Properties used were primary, secondary and tertiary structures, accessibility and packing. HMMER-STRUCT then prioritizes the results by voting. Results: We used the SCOP database to perform our experiments. Throughout, we apply leave-one-family-out cross-validation over protein superfamilies. First, we used the MAMMOTH-mult structural aligner to align the training set proteins. Then, we performed two sets of experiments. In a first experiment, we compared structure weighted models against standard pHMMs and against each other. In a second experiment, we compared the voting model against individual pHMMs. We compare method performance through ROC curves and through Precision/Recall curves, and assess significance through the paired two tailed t-test. Our results show significant performance improvements of all structurally weighted models over default HMMER, and a significant improvement in sensitivity of the combined models over both the original model and the structurally weighted models.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:10:35 GMT" }, { "version": "v2", "created": "Thu, 11 Dec 2008 18:47:26 GMT" } ]
2008-12-11T00:00:00
[ [ "Bernardes", "Juliana S", "" ], [ "Davila", "Alberto", "" ], [ "Costa", "Vitor Santos", "" ], [ "Zaverucha", "Gerson", "" ] ]
0704.2011
Alexander Semke
M.F.M. Lutz, C.L. Korpa and A. Semke
Self consistency in hadron physics
Invited talk presented by M.F.M.L. at YKIS 2006, 9 pages, 3 figures
Prog.Theor.Phys.Suppl.168:23-31,2007
10.1143/PTPS.168.23
null
nucl-th
null
In this talk we discuss at hand of two examples the crucial role played by self consistency in hadron physics. The first example concerns the quark-mass dependence of the baryon octet and decuplet masses. It is shown that within a self consistent one-loop approach based on the chiral Lagrangian the 'mysterious' quark-mass dependence of the $\Xi$ mass predicted by the MILC collaboration may be recovered in terms of a discontinuous chiral extrapolation. This is a consequence of self consistency imposed on the partial summation, i.e. the masses used in the loop functions are identical to those obtained from the baryon self energies. In the second example we discuss recent studies on the properties of D mesons in cold nuclear matter as they are predicted by coupled-channel dynamics. Here a self consistent many-body approach reveals the close interlink of the properties of D meson and open-charm baryon resonances in nuclear matter. The relevance of exotic baryon resonances for the spectral distortion of the $D_s^\pm$ in nuclear matter is pointed out.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:32:21 GMT" } ]
2008-11-26T00:00:00
[ [ "Lutz", "M. F. M.", "" ], [ "Korpa", "C. L.", "" ], [ "Semke", "A.", "" ] ]
0704.2012
Goverdhan Khadekar S
Sanjeev Kumar and Ravendra Singh
Symmetry and Numerical Solutions for Systems of Non-linear Reaction Diffusion Equations
7 pages, 2 figures
null
null
null
math-ph math.MP math.NA
null
Many important applications are available for nonlinear reaction-diffusion equation especially in the area of biology and engineering. Therefore a mathematical model for Lie symmetry reduction of system of nonlinear reaction-diffusion equation with respect to one-dimensional Algebra is carried out in this work. Some classes of analytical and numerical solutions are obtained and expressed using suitable graphs.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:33:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Kumar", "Sanjeev", "" ], [ "Singh", "Ravendra", "" ] ]
0704.2013
Marcelo Alves
M. Alves
The conical singularity method and the energy-momentum tensor near the black hole horizon using the Kruskal coordinates
null
Mod.Phys.Lett.A22:3057-3063,2007
10.1142/S0217732307023651
null
gr-qc hep-th
null
We apply the conical singularity method to the two dimensional version of the Schwarzschild metric to obtain the Kruskal coordinates of the black hole in a very simple and direct way. Then we make use of this metric in an approximated version and calculate the expected value of energy-momentum tensor of a massless quantum field near the horizon, resulting in regular expressions for its components.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:34:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Alves", "M.", "" ] ]
0704.2014
Leandro R\^ego
Joseph Y. Halpern, Leandro C. R\^ego
Extensive Games with Possibly Unaware Players
45 pages, 3 figures, a preliminary version was presented at AAMAS06
null
null
null
cs.GT cs.MA
null
Standard game theory assumes that the structure of the game is common knowledge among players. We relax this assumption by considering extensive games where agents may be unaware of the complete structure of the game. In particular, they may not be aware of moves that they and other agents can make. We show how such games can be represented; the key idea is to describe the game from the point of view of every agent at every node of the game tree. We provide a generalization of Nash equilibrium and show that every game with awareness has a generalized Nash equilibrium. Finally, we extend these results to games with awareness of unawareness, where a player i may be aware that a player j can make moves that i is not aware of, and to subjective games, where payers may have no common knowledge regarding the actual game and their beliefs are incompatible with a common prior.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:58:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Halpern", "Joseph Y.", "" ], [ "Rêgo", "Leandro C.", "" ] ]
0704.2015
Patrick Slane
Patrick Slane
Supernova Remnants and GLAST
5 pages, to be published in "The Proceedings of the First International GLAST Symposium", February 5-8, 2007, Stanford University, AIP, Eds. S. Ritz, P. F. Michelson, and C. Meegan
AIP Conf.Proc.921:57-61,2007
10.1063/1.2757267
null
astro-ph
null
It has long been speculated that supernova remnants represent a major source of cosmic rays in the Galaxy. Observations over the past decade have ceremoniously unveiled direct evidence of particle acceleration in SNRs to energies approaching the knee of the cosmic ray spectrum. Nonthermal X-ray emission from shell-type SNRs reveals multi-TeV electrons, and the dynamical properties of several SNRs point to efficient acceleration of ions. Observations of TeV gamma-ray emission have confirmed the presence of energetic particles in several remnants as well, but there remains considerable debate as to whether this emission originates with high energy electrons or ions. Equally uncertain are the exact conditions that lead to efficient particle acceleration. Based on the catalog of EGRET sources, we know that there is a large population of Galactic gamma-ray sources whose distribution is similar to that of SNRs. With the increased resolution and sensitivity of GLAST, the gamma-ray SNRs from this population will be identified. Their detailed emission structure, along with their spectra, will provide the link between their environments and their spectra in other wavebands to constrain emission models and to potentially identify direct evidence of ion acceleration in SNRs. Here I summarize recent observational and theoretical work in the area of cosmic ray acceleration by SNRs, and discuss the contributions GLAST will bring to our understanding of this problem.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:42:43 GMT" } ]
2009-06-23T00:00:00
[ [ "Slane", "Patrick", "" ] ]
0704.2016
Michael Creutz
Michael Creutz
The author replies
3 pages. Rebuttal to arXiv:hep-lat/0603027. To appear in Physics Letters B
Phys.Lett.B649:241-242,2007
10.1016/j.physletb.2007.04.017
null
hep-lat
null
I respond to the Bernard et al. comment on my letter ``Chiral anomalies and rooted staggered fermions.''
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:48:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Creutz", "Michael", "" ] ]
0704.2017
Giacomo Bacci
G. Bacci, M. Luise, H.V. Poor
Large System Analysis of Game-Theoretic Power Control in UWB Wireless Networks with Rake Receivers
To appear in the Proceedings of the 8th IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Helsinki, Finland, June 17-20, 2007
null
10.1109/SPAWC.2007.4401311
null
cs.IT cs.GT math.IT
null
This paper studies the performance of partial-Rake (PRake) receivers in impulse-radio ultrawideband wireless networks when an energy-efficient power control scheme is adopted. Due to the large bandwidth of the system, the multipath channel is assumed to be frequency-selective. By using noncooperative game-theoretic models and large system analysis, explicit expressions are derived in terms of network parameters to measure the effects of self- and multiple-access interference at a receiving access point. Performance of the PRake is compared in terms of achieved utilities and loss to that of the all-Rake receiver.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:44:23 GMT" } ]
2016-11-17T00:00:00
[ [ "Bacci", "G.", "" ], [ "Luise", "M.", "" ], [ "Poor", "H. V.", "" ] ]
0704.2018
Alberto Lanconelli
Alberto Lanconelli
On a new version of the Ito's formula for the stochastic heat equation
10 pages
null
null
null
math.PR
null
We derive an It\^o's-type formula for the one dimensional stochastic heat equation driven by a space-time white noise. The proof is based on elementary properties of the $\mathcal{S}$-transform and on the explicit representation of the solution process. We also discuss the relationship with other versions of this It\^o's-type formula existing in literature.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:53:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Lanconelli", "Alberto", "" ] ]
0704.2019
Michel Fliess
Michel Fliess (LIX, Inria Futurs)
Probabilit\'es et fluctuations quantiques (Probabilities and quantum fluctuations)
null
Comptes rendus de l'acad\'emie des sciences, Math\'ematiques 344 (2007) 663-668
null
null
quant-ph math-ph math.LO math.MP math.PR
null
This note is sketching a simple and natural mathematical construction for explaining the probabilistic nature of quantum mechanics. It employs nonstandard analysis and is based on Feynman's interpretation of the Heisenberg uncertainty principle, i.e., of the quantum fluctuations, which was brought to the forefront in some fractal approaches. It results, as in Nelson's stochastic mechanics, in stochastic differential equations which are deduced from infinitesimal random walks. An extended english abstract gives most of the details.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 13:55:36 GMT" } ]
2007-06-13T00:00:00
[ [ "Fliess", "Michel", "", "LIX, Inria Futurs" ] ]
0704.2020
Peihong Gu
Pei-Hong Gu, Hong-Jian He, Utpal Sarkar
Neutrino Dark Energy and Baryon Asymmetry from Higgs Sector
5 pages, 2 figures. Version accepted by PLB
Phys.Lett.B653:419-423,2007
10.1016/j.physletb.2007.07.014
null
hep-ph
null
We propose a new model to explain the neutrino masses, the dark energy and the baryon asymmetry altogether. In this model, neutrinos naturally acquire small Majorana masses via type-II seesaw mechanism, while the pseudo-Nambu-Goldstone bosons associated with the neutrino mass-generation mechanism provide attractive candidates for dark energy. The baryon asymmetry of the universe is produced from the Higgs triplets decay with CP-violation.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:01:16 GMT" }, { "version": "v2", "created": "Fri, 13 Jul 2007 08:52:04 GMT" } ]
2008-11-26T00:00:00
[ [ "Gu", "Pei-Hong", "" ], [ "He", "Hong-Jian", "" ], [ "Sarkar", "Utpal", "" ] ]
0704.2021
Kenji Morita
Kenji Morita and Su Houng Lee
Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
4 pages, 5 figures, version to appear in Physical Review Letters
Phys.Rev.Lett.100:022301,2008
10.1103/PhysRevLett.100.022301
null
nucl-th hep-ph
null
We investigate possible mass shift and width broadening of J/psi in hot gluonic matter using QCD sum rule. Input values of gluon condensates at finite temperature are extracted from lattice QCD data for the energy density and pressure. Although stability of the moment ratio is achieved only up to T/Tc ~ 1.05, the gluon condensates cause a decrease of the moment ratio, which results in change of spectral properties. Using the Breit-Wigner form for the phenomenological side, we find that mass shift of J/psi just above Tc can reach maximally 200 MeV and width can broaden to dozens of MeV.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:01:49 GMT" }, { "version": "v2", "created": "Wed, 21 Nov 2007 07:48:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Morita", "Kenji", "" ], [ "Lee", "Su Houng", "" ] ]
0704.2022
C. Ryan Vinroot
Rod Gow and C. Ryan Vinroot
Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents
27 pages
null
null
null
math.RT math.GR
null
When n is odd, consider the finite general linear and unitary groups of rank n, extended by the inverse transpose automorphism. There are elements in the extended groups which square to a regular unipotent element, and we evaluate the values of irreducible characters of the extended groups on these elements. Several intermediate results on real conjugacy classes and real-valued characters of these groups are obtained along the way.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:18:18 GMT" } ]
2007-05-23T00:00:00
[ [ "Gow", "Rod", "" ], [ "Vinroot", "C. Ryan", "" ] ]
0704.2023
Gurpur Prabhu
Chandru Iyer and G. M. Prabhu
Ordered addition of two Lorentz boosts through spatial and space-time rotations
9 pages, Content changed, Typo fixed, One reference added
null
null
null
physics.class-ph
null
The ordered addition of two Lorentz boosts is normally shown to result in a boost by utilizing concepts from group theory and non-Euclidian geometry. We present a method for achieving this addition by performing a sequence of spatial rotations and uni-dimensional Lorentz transformations. The method is first developed for two-dimensional space and it is then extended to three-dimensional space by utilizing the commutative property of the rotation of the y-z plane and a boost along the x-axis. The method employs only matrix multiplication and certain invariant quantities that are natural consequences of spatial rotations and Lorentz transformations. The combining of two boosts in different directions into a single boost cannot be expected a priori because we show that the converse of this statement is not true. That is, two rotations interspersed with a boost cannot always be reduced to a single rotation preceded and followed by boosts.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:20:12 GMT" }, { "version": "v2", "created": "Thu, 3 May 2007 16:18:14 GMT" }, { "version": "v3", "created": "Tue, 8 May 2007 14:35:24 GMT" } ]
2007-05-23T00:00:00
[ [ "Iyer", "Chandru", "" ], [ "Prabhu", "G. M.", "" ] ]
0704.2024
Francois Ducastelle
Hakim Amara (LPS, PCPM, CERMIN), Christophe Bichara (CRMCN), Fran\c{c}ois Ducastelle (LEM)
A Tight-Binding Grand Canonical Monte Carlo Study of the Catalytic Growth of Carbon Nanotubes
null
null
null
null
cond-mat.mtrl-sci
null
The nucleation of carbon nanotubes on small nickel clusters is studied using a tight binding model coupled to grand canonical Monte Carlo simulations. This technique closely follows the conditions of the synthesis of carbon nanotubes by chemical vapor deposition. The possible formation of a carbon cap on the catalyst particle is studied as a function of the carbon chemical potential, for particles of different size, either crystalline or disordered. We show that these parameters strongly influence the structure of the cap/particle interface which in turn will have a strong effect on the control of the structure of the nanotube. In particular, we discuss the presence of carbon on surface or in subsurface layers.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:25:05 GMT" } ]
2007-05-23T00:00:00
[ [ "Amara", "Hakim", "", "LPS, PCPM, CERMIN" ], [ "Bichara", "Christophe", "", "CRMCN" ], [ "Ducastelle", "François", "", "LEM" ] ]
0704.2025
Peng Gao
Peng Gao
A Note on Sums of Powers
4 pages
null
null
null
math.CA
null
We improve a result of Bennett concerning certain sequences involving sums of powers of positive integers.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:33:27 GMT" }, { "version": "v2", "created": "Tue, 17 Apr 2007 18:19:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Gao", "Peng", "" ] ]
0704.2026
Sandrine Bec
Christelle Guerret-Piecourt (PCP, IFoS), Sandrine Bec (LTDS), Fr\'ed\'eric S\'egault (LTDS), Denyse Juv\'e (IFoS), Daniel Tr\'eheux (IFoS), Andr\'e Tonck (LTDS)
Adhesion forces due to nano-triboelectrification between similar materials
null
The European Physical Journal : Applied Physics 28 (2004) 65-72
10.1051/epjap:2004152
null
physics.class-ph
null
Contact electrification and triboelectrification are well-known in the case of dissimilar materials, however the case of charge exchange during friction between nominally identical insulating materials is less documented. We experimentally investigated the triboelectrification between two smooth monocrystalline &#945;-Al 2O 3 (sapphire) antagonists by surface force measurements with a Surface Force Apparatus (SFA). The force between a sphere and a plane, both in sapphire, was measured as a function of the sphere-plane distance D, before and after nano-friction tests, under dry argon atmosphere. Respective contributions of van der Waals, water meniscus and electrostatic forces were determined. The estimated Hamaker constant was in good agreement with the Lifshitz theory, and the dominant meniscus attraction at low separation could be overcome with small radius sphere. We demonstrated that electrostatic forces were generated by the nano-friction test and we quantified the adhesion that results from this contact-electrification. In the first stage of the unloading process, the short range electrostatic force was found to vary both with time and distance D. Experimental results were correlated with surface densities of mobile charges on the two surfaces, and the time-dependence was related to classical surface transport phenomena on alumina surfaces.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:37:01 GMT" } ]
2015-05-13T00:00:00
[ [ "Guerret-Piecourt", "Christelle", "", "PCP, IFoS" ], [ "Bec", "Sandrine", "", "LTDS" ], [ "Ségault", "Frédéric", "", "LTDS" ], [ "Juvé", "Denyse", "", "IFoS" ], [ "Tréheux", "Daniel", "", "IFoS" ], [ "Tonck", "André", "", "LTDS" ] ]
0704.2027
Christian Roos
M. Riebe, M. Chwalla, J. Benhelm, H. Haeffner, W. Haensel, C. F. Roos, and R. Blatt
Quantum teleportation with atoms: quantum process tomography
null
New J. Phys. 9, 211 (2007)
10.1088/1367-2630/9/7/211
null
quant-ph
null
The performance of a quantum teleportation algorithm implemented on an ion trap quantum computer is investigated. First the algorithm is analyzed in terms of the teleportation fidelity of six input states evenly distributed over the Bloch sphere. Furthermore, a quantum process tomography of the teleportation algorithm is carried out which provides almost complete knowledge about the algorithm.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:44:43 GMT" } ]
2011-11-09T00:00:00
[ [ "Riebe", "M.", "" ], [ "Chwalla", "M.", "" ], [ "Benhelm", "J.", "" ], [ "Haeffner", "H.", "" ], [ "Haensel", "W.", "" ], [ "Roos", "C. F.", "" ], [ "Blatt", "R.", "" ] ]
0704.2028
Manuel J. Schmidt
M.J. Schmidt, K. Pappert, C. Gould, G. Schmidt, R. Oppermann, L.W. Molenkamp
Bound hole states in a ferromagnetic (Ga,Mn)As environment
9 pages, 10 figures
PHYSICAL REVIEW B Volume: 76 Issue: 12 Article Number: 125206 Published: 2007
10.1103/PhysRevB.76.035204
null
cond-mat.mtrl-sci cond-mat.dis-nn
null
A numerical technique is developed to solve the Luttinger-Kohn equation for impurity states directly in k-space and is applied to calculate bound hole wave functions in a ferromagnetic (Ga,Mn)As host. The rich properties of the band structure of an arbitrarily strained, ferromagnetic zinc-blende semiconductor yields various features which have direct impact on the detailed shape of a valence band hole bound to an active impurity. The role of strain is discussed on the basis of explicit calculations of bound hole states.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 14:45:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Schmidt", "M. J.", "" ], [ "Pappert", "K.", "" ], [ "Gould", "C.", "" ], [ "Schmidt", "G.", "" ], [ "Oppermann", "R.", "" ], [ "Molenkamp", "L. W.", "" ] ]
0704.2029
Bertfried Fauser
Bertfried Fauser, Peter D. Jarvis, and Ronald C. King
The Hopf Algebra Structure of the Character Rings of Classical Groups
38 pages, uses pstricks; new version is a major update, new title, new material on rational characters
null
null
MPI-MIS 36/2007
math.RT math.CO math.RA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The character ring \CGL of covariant irreducible tensor representations of the general linear group admits a Hopf algebra structure isomorphic to the Hopf algebra \Sym$ of symmetric functions. Here we study the character rings \CO and \CSp of the orthogonal and symplectic subgroups of the general linear group within the same framework of symmetric functions. We show that \CO and \CSp also admit natural Hopf algebra structures that are isomorphic to that of \CGL, and hence to \Sym. The isomorphisms are determined explicitly, along with the specification of standard bases for \CO and \CSp analogous to those used for \Sym. A major structural change arising from the adoption of these bases is the introduction of new orthogonal and symplectic Schur-Hall scalar products. Significantly, the adjoint with respect to multiplication no longer coincides, as it does in the \CGL case, with a Foulkes derivative or skew operation. The adjoint and Foulkes derivative now require separate definitions, and their properties are explored here in the orthogonal and symplectic cases. Moreover, the Hopf algebras \CO and \CSp are not self-dual. The dual Hopf algebras \CO^* and \CSp^* are identified. Finally, the Hopf algebra of the universal rational character ring \CGLrat of mixed irreducible tensor representations of the general linear group is introduced and its structure maps identified.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:22:05 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2012 15:17:23 GMT" } ]
2012-07-27T00:00:00
[ [ "Fauser", "Bertfried", "" ], [ "Jarvis", "Peter D.", "" ], [ "King", "Ronald C.", "" ] ]
0704.2030
Nikolai Durov
Nikolai Durov (Max Planck Institute for Mathematics, St.Petersburg State University)
New Approach to Arakelov Geometry
568 pages, with hyperlinks
null
null
null
math.AG math.NT
null
This work is dedicated to a new completely algebraic approach to Arakelov geometry, which doesn't require the variety under consideration to be generically smooth or projective. In order to construct such an approach we develop a theory of generalized rings and schemes, which include classical rings and schemes together with "exotic" objects such as F_1 ("field with one element"), Z_\infty ("real integers"), T (tropical numbers) etc., thus providing a systematic way of studying such objects. This theory of generalized rings and schemes is developed up to construction of algebraic K-theory, intersection theory and Chern classes. Then existence of Arakelov models of algebraic varieties over Q is shown, and our general results are applied to such models.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 17:38:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Durov", "Nikolai", "", "Max Planck Institute for Mathematics, St.Petersburg\n State University" ] ]
0704.2031
Graziano Guerra Dr
Rinaldo M. Colombo and Graziano Guerra
Hyperbolic Balance Laws with a Non Local Source
26 pages
Comm. Partial Differential Equations., 32(12):1917-1939, 2007.
10.1080/03605300701318849
null
math.AP
null
This paper is devoted to hyperbolic systems of balance laws with non local source terms. The existence, uniqueness and Lipschitz dependence proved here comprise previous results in the literature and can be applied to physical models, such as Euler system for a radiating gas and Rosenau regularization of the Chapman-Enskog expansion.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 15:02:45 GMT" } ]
2007-12-13T00:00:00
[ [ "Colombo", "Rinaldo M.", "" ], [ "Guerra", "Graziano", "" ] ]
0704.2032
Gustavo A. Lanfranchi
Gustavo A. Lanfranchi (1), Francesca Matteucci (2,3), ((1)Nucleo de Astrofisica Teorica-UNICSUL, Brazil (2) Dipartimento di Astronomia-Universita di Trieste, Italy, (3) I.N.A.F. Osservatorio Astronomico di Trieste, Italy)
Effects of the galactic winds on the stellar metallicity distribution of dwarf spheroidal galaxies
11 pages, 7 figures, accepted for publication in Asttronomy & Astrophysics
null
10.1051/0004-6361:20066576
null
astro-ph
null
To study the effects of galactic winds on the stellar metallicity distributions and on the evolution of Draco and Ursa Minor dwarf spheroidal galaxies, we compared the predictions of several chemical evolution models, adopting different prescriptions for the galactic winds, with the photometrically-derived stellar metallicity distributions of both galaxies. The chemical evolution models for Draco and Ursa Minor, which are able to reproduce several observational features of these two galaxies, such as the several abundance ratios, take up-to-date nucleosynthesis into account for intermediate-mass stars and supernovae of both types, as well as the effect of these objects on the energetics of the systems. For both galaxies, the model that best fits the data contains an intense continuous galactic wind, occurring at a rate proportional to the star formation rate. Models with a wind rate assumed to be proportional only to the supernova rate also reproduce the observed SMD, but do not match the gas mass, whereas the models with no galactic winds fail to reproduce the observed SMDs. In the case of Ursa Minor, the same model as in previous works reproduces the observed distribution very well with no need to modify the main parameters of the model. The model for Draco, on the other hand, is slightly modified. The observed SMD requires a model with a lower supernova type Ia thermalization efficiency ($\eta_{SNeIa}$ = 0.5 instead of $\eta_{SNeIa}$ = 1.0) in order to delay the galactic wind, whereas all the other parameters are kept the same. The model results, compared to observations, strongly suggest that intense and continuous galactic winds play a very important role in the evolution of local dSphs.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 15:07:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Lanfranchi", "Gustavo A.", "" ], [ "Matteucci", "Francesca", "" ] ]
0704.2033
Anwar Shiekh Dr.
A.Y. Shiekh
The Quantum Interference Computer: an experimental proposal
6 pages, 1 figure
Int. Jour. of Theo. Phys., 47, 2176, 2008
10.1007/s10773-008-9664-7
null
quant-ph
null
An experiment is proposed to test the interference aspect of the Quantum Interference Computer approach
[ { "version": "v1", "created": "Mon, 16 Apr 2007 15:34:25 GMT" }, { "version": "v2", "created": "Sat, 21 Jul 2007 21:00:24 GMT" }, { "version": "v3", "created": "Tue, 2 Oct 2007 19:57:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Shiekh", "A. Y.", "" ] ]
0704.2034
Tom Coates
Tom Coates, Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng
The Crepant Resolution Conjecture for Type A Surface Singularities
19 pages. v2: references updated; corrected our description of the work of Davesh Maulik. v3: please note that this preprint has been superseded by arXiv:math/0702234v3. The material here, with various typos corrected, appears as Appendix A there
null
null
null
math.AG math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let X be an orbifold with crepant resolution Y. The Crepant Resolution Conjectures of Ruan and Bryan-Graber assert, roughly speaking, that the quantum cohomology of X becomes isomorphic to the quantum cohomology of Y after analytic continuation in certain parameters followed by the specialization of some of these parameters to roots of unity. We prove these conjectures in the case where X is a surface singularity of type A. The key ingredient is mirror symmetry for toric orbifolds.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 18:56:34 GMT" }, { "version": "v2", "created": "Mon, 22 Oct 2007 07:47:57 GMT" }, { "version": "v3", "created": "Thu, 10 Jul 2008 06:46:10 GMT" } ]
2008-07-10T00:00:00
[ [ "Coates", "Tom", "" ], [ "Corti", "Alessio", "" ], [ "Iritani", "Hiroshi", "" ], [ "Tseng", "Hsian-Hua", "" ] ]
0704.2035
Petr Marek
Petr Marek, Jinhyoung Lee, M. S. Kim
Vacuum as a less hostile environment to entanglement
Replaced by the published version
Phys. Rev. A 77, 032302 (2008)
10.1103/PhysRevA.77.032302
null
quant-ph
null
We derive sufficient conditions for infinite-dimensional systems whose entanglement is not completely lost in a finite time during its decoherence by a passive interaction with local vacuum environments. The sufficient conditions allow us to clarify a class of bipartite entangled states which preserve their entanglement or, in other words, are tolerant against decoherence in a vacuum. We also discuss such a class for entangled qubits.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 15:36:40 GMT" }, { "version": "v2", "created": "Wed, 2 May 2007 16:10:08 GMT" }, { "version": "v3", "created": "Wed, 5 Mar 2008 10:53:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Marek", "Petr", "" ], [ "Lee", "Jinhyoung", "" ], [ "Kim", "M. S.", "" ] ]
0704.2036
Karen Johnston
Karen Johnston and Risto M. Nieminen
Polymer adhesion: first-principles calculations of the adsorption of organic molecules onto Si surfaces
8 pages, 13 figures
null
10.1103/PhysRevB.76.085402
null
cond-mat.mtrl-sci
null
The structures and energetics of organic molecules adsorbed onto clean and H-passivated Si(001)-(2$\times$1) surfaces have been calculated using density functional theory. For benzene adsorbed on the clean Si surface the tight-bridge structure was found to be stable and the butterfly structure metastable. Both carbonic acid H$_2$CO$_3$ and propane C$_3$H$_8$ dissociate on contact with the surface. Passivation of the Si surface with H-atoms has a dramatic effect on the surface properties. The passivated surface is very inert and the binding energy of all the molecules is very weak.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 15:38:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Johnston", "Karen", "" ], [ "Nieminen", "Risto M.", "" ] ]
0704.2037
Tom Girard
T. Morlata, M. Felizardo, F. Giuliani, TA Girard, G. Waysand, R.F. Payne, H.S. Miley, A.R. Ramos, J.G. Marques, R.C. Martins, D. Limagne
A CF3I-based SDD Prototype for Spin-independent Dark Matter Searches
revised and updated; accepted Astrop. Phys
null
null
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The application of Superheated Droplet Detectors (SDDs) to dark matter searches has so far been confined to the light nuclei refrigerants C2ClF5 and C4F10 (SIMPLE and PICASSO, respectively), with a principle sensitivity to spin-dependent interactions. Given the competitive results of these devices, as a result of their intrinsic insensitivity to backgrounds, we have developed a prototype trifluoroiodomethane (CF3I)-loaded SDD with increased sensitivity to spin-independent interactions as well. A low (0.102 kgd) exposure test operation of two high concentration, 1 liter devices is described, and the results compared with leading experiments in both spin-dependent and -independent sectors. Although competitive in both sectors when the difference in exposures is accounted for, a problem with fracturing of the detector gel must be addressed before significantly larger exposures can be envisioned.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 17:55:35 GMT" }, { "version": "v2", "created": "Tue, 26 Aug 2008 13:39:50 GMT" } ]
2008-08-26T00:00:00
[ [ "Morlata", "T.", "" ], [ "Felizardo", "M.", "" ], [ "Giuliani", "F.", "" ], [ "Girard", "TA", "" ], [ "Waysand", "G.", "" ], [ "Payne", "R. F.", "" ], [ "Miley", "H. S.", "" ], [ "Ramos", "A. R.", "" ], [ "Marques", "J. G.", "" ], [ "Martins", "R. C.", "" ], [ "Limagne", "D.", "" ] ]
0704.2038
Marc Holman
M. Holman
Non-Viability of a Counter-Argument to Bell's Theorem
2 pages, no figures; v2, two minor semantical changes - in order to resolve some apparent confusion in the mind of some reader - conclusion remains unaffected
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is demonstrated that a recently suggested model for the EPR-Bohm spin experiment, based on Clifford algebra valued local variables and observables, runs into very serious difficulties and can therefore not be taken as constituting a viable counter-example to Bell's theorem.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 19:45:29 GMT" }, { "version": "v2", "created": "Fri, 25 Sep 2009 17:47:31 GMT" } ]
2009-09-25T00:00:00
[ [ "Holman", "M.", "" ] ]
0704.2039
Peter Van
P. V\'an and T. S. Bir\'o
Relativistic hydrodynamics - causality and stability
14 pages, 2 figures, completely revised
Eur.Phys.J.ST155:201-212,2008
10.1140/epjst/e2008-00602-6
null
nucl-th
null
Causality and stability in relativistic dissipative hydrodynamics are important conceptual issues. We argue that causality is not restricted to hyperbolic set of differential equations. E.g. heat conduction equation can be causal considering the physical validity of the theory. Furthermore we propose a new concept of relativistic internal energy that clearly separates the dissipative and non-dissipative effects. We prove that with this choice we remove all known instabilities of the linear response approximation of viscous and heat conducting relativistic fluids. In this paper the Eckart choice of the velocity field is applied.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 15:53:43 GMT" }, { "version": "v2", "created": "Sun, 11 Nov 2007 17:45:34 GMT" } ]
2008-11-26T00:00:00
[ [ "Ván", "P.", "" ], [ "Biró", "T. S.", "" ] ]
0704.2040
Wanke Yin
Xiaojun Huang, Wanke Yin
A Bishop surface with a vanishing Bishop invariant
null
null
null
null
math.CV math.DG
null
We derive a complete set of invariants for a formal Bishop surface near a point of complex tangent with a vanishing Bishop invariant under the action of formal transformations. We prove that the modular space of Bishop surfaces with a vanishing Bishop invariant and with a fixed Moser invariant $s<\infty$ is of infinite dimension. We also prove that the equivalence class of the germ of a generic real analytic Bishop surface near a complex tangent with a vanishing Bishop invariant can not be determined by a finite part of the Taylor expansion of its defining equation. This answers, in the negative, a problem raised by J. Moser in 1985 after his joint work with Webster in 1983 and his own work in 1985.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 15:58:40 GMT" }, { "version": "v2", "created": "Tue, 17 Apr 2007 06:35:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Huang", "Xiaojun", "" ], [ "Yin", "Wanke", "" ] ]
0704.2041
Walter D. Neumann
Lev Birbrair, Alexandre Fernandes, Walter D. Neumann
Bi-Lipschitz geometry of weighted homogeneous surface singularities
5 pages. Added result that nonhomogeneous cyclic quotients are not conical
Math. Ann. 342 (2008), 139--144
10.1007/s00208-008-0225-4
null
math.AG math.GT math.MG
null
We show that a weighted homogeneous complex surface singularity is metrically conical (i.e., bi-Lipschitz equivalent to a metric cone) only if its two lowest weights are equal. We also give an example of a pair of weighted homogeneous complex surface singularities that are topologically equivalent but not bi-Lipschitz equivalent.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:03:09 GMT" }, { "version": "v2", "created": "Tue, 14 Aug 2007 17:26:18 GMT" }, { "version": "v3", "created": "Fri, 7 Dec 2007 14:41:11 GMT" } ]
2008-09-04T00:00:00
[ [ "Birbrair", "Lev", "" ], [ "Fernandes", "Alexandre", "" ], [ "Neumann", "Walter D.", "" ] ]
0704.2042
Tim Clunan
Tim Clunan
The No-Boundary Probability for the Universe starting at the top of the hill
8 pages, 3 figures
null
null
DAMTP-2007-35
hep-th
null
We use the Hartle-Hawking No-Boundary Proposal to make a comparison between the probabilities of the universe starting near, and at, the top of a hill in the effective potential. In the context of top-down cosmology, our calculation finds that the universe doesn't start at the top.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:05:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Clunan", "Tim", "" ] ]
0704.2043
Oded Hod
Oded Hod, Veronica Barone, Juan E. Peralta, and Gustavo E. Scuseria
Enhanced Half-Metallicity in Edge-Oxidized Zigzag Graphene Nanoribbons
5 pages,5 figures, 1 table
Nano Letters 7, 2295-2299 (2007)
10.1021/nl0708922
null
cond-mat.mtrl-sci cond-mat.other
null
We present a novel comprehensive first-principles theoretical study of the electronic properties and relative stabilities of edge-oxidized zigzag graphene nanoribbons. The oxidation schemes considered include hydroxyl, carboxyl, ether, and ketone groups. Using screened exchange density functional theory, we show that these oxidized ribbons are more stable than hydrogen-terminated nanoribbons except for the case of the etheric groups. The stable oxidized configurations maintain a spin-polarized ground state with antiferromagnetic ordering localized at the edges, similar to the fully hydrogenated counterparts. More important, edge oxidation is found to lower the onset electric field required to induce half-metallic behavior and extend the overall field range at which the systems remain half-metallic. Once the half-metallic state is reached, further increase of the external electric field intensity produces a rapid decrease in the spin magnetization up to a point where the magnetization is quenched completely. Finally, we find that oxygen containing edge groups have a minor effect on the energy difference between the antiferromagnetic ground state and the above-lying ferromagnetic state.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:15:24 GMT" } ]
2015-05-13T00:00:00
[ [ "Hod", "Oded", "" ], [ "Barone", "Veronica", "" ], [ "Peralta", "Juan E.", "" ], [ "Scuseria", "Gustavo E.", "" ] ]
0704.2044
Edouard Brezin
E. Brezin and S. Hikami
Vertices from replica in a random matrix theory
null
null
10.1088/1751-8113/40/45/005
null
math-ph hep-th math.MP
null
Kontsevitch's work on Airy matrix integrals has led to explicit results for the intersection numbers of the moduli space of curves. In a subsequent work Okounkov rederived these results from the edge behavior of a Gaussian matrix integral. In our work we consider the correlation functions of vertices in a Gaussian random matrix theory, with an external matrix source, in a scaling limit in which the powers of the matrices and their sizes go to infinity simultaneously in a specified scale. We show that the replica method applied to characteristic polynomials of the random matrices, together with a duality exchanging N and the number of points, allows one to recover Kontsevich's results on the intersection numbers, through a simple saddle-point analysis.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:17:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Brezin", "E.", "" ], [ "Hikami", "S.", "" ] ]
0704.2045
Chris Quigg
Chris Quigg
Higgs Bosons, Electroweak Symmetry Breaking, and the Physics of the Large Hadron Collider
15 pages, 6 figures, uses Contemporary Physics macros (included)
Contemp.Phys.48:1-11,2007
10.1080/00107510701292187
FERMILAB-PUB-07/002-T
hep-ph hep-ex
null
The Large Hadron Collider, a 7 + 7 TeV proton-proton collider under construction at CERN (the European Laboratory for Particle Physics in Geneva), will take experiments squarely into a new energy domain where mysteries of the electroweak interaction will be unveiled. What marks the 1-TeV scale as an important target? Why is understanding how the electroweak symmetry is hidden important to our conception of the world around us? What expectations do we have for the agent that hides the electroweak symmetry? Why do particle physicists anticipate a great harvest of discoveries within reach of the LHC?
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:26:07 GMT" } ]
2008-11-26T00:00:00
[ [ "Quigg", "Chris", "" ] ]
0704.2046
Anne Schilling
Anne Schilling
Combinatorial structure of Kirillov-Reshetikhin crystals of type D_n(1), B_n(1), A_{2n-1}(2)
23 pages; version 3: references added, role of [27] clarified
J.Algebra319:2938-2962,2008
10.1016/j.jalgebra.2007.10.020
null
math.QA math.CO
null
We provide the explicit combinatorial structure of the Kirillov-Reshetikhin crystals B^{r,s} of type D_n(1), B_n(1), and A_{2n-1}(2). This is achieved by constructing the crystal analogue sigma of the automorphism of the D_n(1) (resp. B_n(1) or A_{2n-1}(2)) Dynkin diagram that interchanges the 0 and 1 node. The involution sigma is defined in terms of new plus-minus diagrams that govern the D_n to D_{n-1} (resp. B_n to B_{n-1}, or C_n to C_{n-1}) branching. It is also shown that the crystal B^{r,s} is perfect. These crystals have been implemented in MuPAD-Combinat; the implementation is discussed in terms of many examples.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:26:31 GMT" }, { "version": "v2", "created": "Thu, 3 May 2007 06:46:14 GMT" }, { "version": "v3", "created": "Wed, 24 Oct 2007 22:44:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Schilling", "Anne", "" ] ]
0704.2047
Oleg Smirnov
A.Derbin, A.Ianni, and O.Smirnov
Comment on the statistical analysis in "A new experimental limit for the stability of the electron" by H.V. Klapdor-Kleingrothaus, I.V. Krivosheina and I.V. Titkova
4 pages, 2 tables
null
null
null
hep-ex
null
We point out the evident errors in statistical analysis of the data, performed by Klapdor-Kleingrothaus et al in recently published paper to establish a limit on the stability of electron with respect to the decay into $\nu+\gamma$. We performed the reestimation of the sensitivity of the experimental setups to the 256 keV gamma emitted in the hypothetical electron decay, and show that in [1] the limits on the electron stability and charge nonconservation parameter $\epsilon_{e\nu\gamma}^{2}$ are overestimated by at least a factor of 5. We have revealed evident errors in the statistical analysis, performed by Klapdor-Kleingrothaus et al in a recently published paper [1] to establish a limit on the stability of electron with respect to the decay into $\nu+\gamma$. The performed reestimation of the sensitivity of the experimental setups to the 256 keV gamma emitted in the hypothetical electron decay, has shown that the limits on the electron stability and charge nonconservation parameter $\epsilon_{e\nu\gamma}^{2}$ presented in [1], have been overestimated by at least a factor of 5.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:32:44 GMT" }, { "version": "v2", "created": "Tue, 1 May 2007 13:12:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Derbin", "A.", "" ], [ "Ianni", "A.", "" ], [ "Smirnov", "O.", "" ] ]
0704.2048
Toufik Mansour Dr.
W.M.B. Dukes, Mark F. Flanagan, Toufik Mansour, V. Vajnovszki
Combinatorial Gray codes for classes of pattern avoiding permutations
18 pages
null
null
null
math.CO
null
The past decade has seen a flurry of research into pattern avoiding permutations but little of it is concerned with their exhaustive generation. Many applications call for exhaustive generation of permutations subject to various constraints or imposing a particular generating order. In this paper we present generating algorithms and combinatorial Gray codes for several families of pattern avoiding permutations. Among the families under consideration are those counted by Catalan, Schr\"oder, Pell, even index Fibonacci numbers and the central binomial coefficients. Consequently, this provides Gray codes for $\s_n(\tau)$ for all $\tau\in \s_3$ and the obtained Gray codes have distances 4 and 5.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:35:17 GMT" }, { "version": "v2", "created": "Wed, 9 Jan 2008 17:32:39 GMT" } ]
2008-01-09T00:00:00
[ [ "Dukes", "W. M. B.", "" ], [ "Flanagan", "Mark F.", "" ], [ "Mansour", "Toufik", "" ], [ "Vajnovszki", "V.", "" ] ]
0704.2049
Mattias Marklund
M. Marklund, B. Eliasson, P. K. Shukla
Magnetosonic solitons in a Fermionic quantum plasma
8 pages, 3 figures, version to appear in Physical Review E
Phys. Rev. E 76, 067401 (2007)
10.1103/PhysRevE.76.067401
null
physics.plasm-ph
null
Starting from the governing equations for a quantum magnetoplasma including the quantum Bohm potential and electron spin-1/2 effects, we show that the system of quantum magnetohydrodynamic (QMHD) equations admit rarefactive solitons due to the balance between nonlinearities and quantum diffraction/tunneling effects. It is found that the electron spin-1/2 effect introduces a pressure-like term with negative sign in the QMHD equations, which modifies the shape of the solitary magnetosonic waves and makes them wider and shallower. Numerical simulations of the time-dependent system shows the development of rarefactive QMHD solitary waves that are modified by the spin effects.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:36:20 GMT" }, { "version": "v2", "created": "Wed, 14 Nov 2007 19:22:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Marklund", "M.", "" ], [ "Eliasson", "B.", "" ], [ "Shukla", "P. K.", "" ] ]
0704.2050
Dorin Ervin Dutkay
Dorin Ervin Dutkay and Palle E.T. Jorgensen
A duality approach to representations of Baumslag-Solitar groups
v2, technical problem around Corollary 7.5 was corected
A duality approach to representations of Baumslag-Solitar groups. Group representations, ergodic theory, and mathematical physics: a tribute to George W. Mackey, 99--127, Contemp. Math., 449, Amer. Math. Soc., Providence, RI, 2008.
null
null
math.OA math.FA
null
We give an operator theoretic approach to the constructions of multiresolutions as they are used in a number of basis constructions with wavelets, and in Hilbert spaces on fractals. Our approach starts with the following version of the classical Baumslag-Solitar relations $u t = t^2 u$ where $t$ is a unitary operator in a Hilbert space $\mathcal H$ and $u$ is an isometry in $\mathcal H$. There are isometric dilations of this system into a bigger Hilbert space, relevant for wavelets. For a variety of carefully selected dilations, the ``bigger'' Hilbert space may be $L^2(\br)$, and the dilated operators may be the unitary operators which define a dyadic wavelet multiresolutions of $L^2(\br)$ with the subspace $\mathcal H$ serving as the corresponding resolution subspace. That is, the initialized resolution which is generated by the wavelet scaling function(s). In the dilated Hilbert space, the Baumslag-Solitar relations then take the more familiar form $u t u^{-1} = t^2$. We offer an operator theoretic framework including the standard construction; and we show how the representations of certain discrete semidirect group products serve to classify the possibilities. For this we analyze and compare several types of unitary representations of these semidirect products: the induced representations in Mackey's theory, the wavelet representations on $L^2(\br)$, the irreducible representation on the dual, the finite dimensional representations, and the the regular representation.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:38:47 GMT" }, { "version": "v2", "created": "Mon, 16 Apr 2007 23:31:59 GMT" }, { "version": "v3", "created": "Mon, 25 Jun 2007 19:32:30 GMT" } ]
2008-12-29T00:00:00
[ [ "Dutkay", "Dorin Ervin", "" ], [ "Jorgensen", "Palle E. T.", "" ] ]
0704.2051
Derek Moss
D. Moss, N. Seymour, I. M. McHardy, T. Dwelly, M. J. Page, N. S. Loaring
A 610 MHz Survey of the 1H XMM-Newton/Chandra Survey Field
13 pages, 8 figures, 2 tables. Accepted for publication in MNRAS
null
null
null
astro-ph
null
We present the results of a deep 610 MHz survey of the 1^H XMM/Chandra survey area with the GMRT. The resulting maps have a resolution of ~7 arcsec and an rms noise limit of 60 microJy. To a 5 sigma detection limit of 300 microJy we detect 223 sources within a survey area of diameter 64 arcmin. We compute the 610 MHz source counts and compare them to those measured at other radio wavelengths. The well know flattening of the Euclidean-normalised 1.4 GHz source counts below ~2 mJy, usually explained by a population of starburst galaxies undergoing luminosity evolution, is seen at 610 MHz. The 610 MHz source counts can be modelled by the same populations that explain the 1.4 GHz source counts, assuming a spectral index of -0.7 for the starburst galaxies and the steep spectrum AGN population. We find a similar dependence of luminosity evolution on redshift for the starburst galaxies at 610 MHz as is found at 1.4 GHz (i.e. 'Q'= 2.45 (+0.3,-0.4)).
[ { "version": "v1", "created": "Mon, 16 Apr 2007 17:10:54 GMT" } ]
2007-05-23T00:00:00
[ [ "Moss", "D.", "" ], [ "Seymour", "N.", "" ], [ "McHardy", "I. M.", "" ], [ "Dwelly", "T.", "" ], [ "Page", "M. J.", "" ], [ "Loaring", "N. S.", "" ] ]
0704.2052
Vladimir Romanovsky
V. I. Romanovsky (1), S. A. Akimenko (1), G. I. Britvich (1), K. V. Datsko (1), A. P. Filin (1), A. V. Inyakin (1), A. S. Konstantinov (1), I. Y. Korolkov (1), V. A. Khmelnikov (1), V. M. Leontiev (1), V. P. Novikov (1), V. F. Obraztsov (1), V. A. Polyakov (1), V. I. Shelikhov (1), O. G. Tchikilev (1), V. A. Uvarov (1), O.P. Yushchenko (1), V. N. Bolotov (2), V. A. Duk (2), S. V. Laptev (2), A. Yu. Polyarush (2) ((1) Institute for High Energy Physics Protvino Russia, (2) Institute for Nuclear Research Moscow Russia)
Measurement of K^{-}_{e3} branching ratio
10 pages, 8 figures
null
null
IHEP-2007-5
hep-ex
null
The branching fraction for the decay $K^{-} \to \pi^{0} e \bar \nu$ is measured using in-flight decays detected with {\bf ISTRA+} setup working at the 25 GeV negative secondary beam of the U-70 PS:\linebreak $Br_{K_{e3}}= (5.124 \pm 0.009 (stat) \pm 0.029(norm) \pm 0.030(syst))%$. From this value the $|V_{us}|$ element of the CKM matrix is extracted, using previously measured $f_{+}(t)$ form factor: $|V_{us}|=0.227 \pm 0.002$. The results are in agreement with recent measurements by BNL E865, FNAL KTeV, KLOE.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 16:56:50 GMT" }, { "version": "v2", "created": "Tue, 22 May 2007 07:30:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Romanovsky", "V. I.", "" ], [ "Akimenko", "S. A.", "" ], [ "Britvich", "G. I.", "" ], [ "Datsko", "K. V.", "" ], [ "Filin", "A. P.", "" ], [ "Inyakin", "A. V.", "" ], [ "Konstantinov", "A. S.", "" ], [ "Korolkov", "I. Y.", "" ], [ "Khmelnikov", "V. A.", "" ], [ "Leontiev", "V. M.", "" ], [ "Novikov", "V. P.", "" ], [ "Obraztsov", "V. F.", "" ], [ "Polyakov", "V. A.", "" ], [ "Shelikhov", "V. I.", "" ], [ "Tchikilev", "O. G.", "" ], [ "Uvarov", "V. A.", "" ], [ "Yushchenko", "O. P.", "" ], [ "Bolotov", "V. N.", "" ], [ "Duk", "V. A.", "" ], [ "Laptev", "S. V.", "" ], [ "Polyarush", "A. Yu.", "" ] ]
0704.2053
Ran Wang
Ran Wang, Chris Carilli, Alexandre Beelen, Frank Bertoldi, Xiaohui Fan, Fabian Walter, Karl M. Menten, Alain Omont, Pierre Cox, Michael A. Strauss, Linhua Jiang
Millimeter and Radio Observations of z~6 Quasars
27 pages including 6 figures. AJ accepted
null
10.1086/518867
null
astro-ph
null
We present millimeter and radio observations of 13 SDSS quasars at reshifts z~6. We observed eleven of them with the Max-Planck Millimeter Bolometer Array (MAMBO-2) at the IRAM 30m-telescope at 250 GHz and all of them with the Very Large Array (VLA) at 1.4 GHz. Four sources are detected by MAMBO-2 and six are detected by the VLA at >=3 sigma level. These sources, together with another 6 published in previous papers,yield a submillimeter/millimeter and radio observed SDSS quasar sample at z~6. We use this sample to investigate the far-infrared (FIR) andradio properties of optically bright quasars in the early universe. We compare this sample to lower redshift samples of quasars observed inthe submillimeter and millimeter wavelengths ((sub)mm), and find that the distribution of the FIR to B band optical luminosity ratio (L_FIR/L_B) is similar from z~2 to 6. We find a weak correlation between the FIR luminosity (L_FIR) and B band optical luminosity (L_B) byincluding the (sub)mm observed samples at all redshifts. Some strong (sub)mm detections in the z~6 sample have radio-to-FIR ratios within the range defined by star forming galaxies, which suggests possible co-eval star forming activity with the powerful AGN in these sources. We calculate the rest frame radio to optical ratios (R*_1.4=L_{v, 1.4GHz}/L_{v, 4400A}) for all of the VLA observed sources in the z~6 quasar sample. Only one radio detection in this sample, J083643.85+005453.3, has R*_1.4~40 and can be considered radio loud. There are no strong radio sources (R*_1.4>=100) among these SDSS quasars at z~6. These data are consistent with, although do not set strong constraints on, a decreasing radio-loud quasar fraction with increasing redshift.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 17:04:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Ran", "" ], [ "Carilli", "Chris", "" ], [ "Beelen", "Alexandre", "" ], [ "Bertoldi", "Frank", "" ], [ "Fan", "Xiaohui", "" ], [ "Walter", "Fabian", "" ], [ "Menten", "Karl M.", "" ], [ "Omont", "Alain", "" ], [ "Cox", "Pierre", "" ], [ "Strauss", "Michael A.", "" ], [ "Jiang", "Linhua", "" ] ]
0704.2054
David Scherer
David R. Scherer
Vortex Formation by Merging and Interference of Multiple Trapped Bose-Einstein Condensates
Ph.D. dissertation submitted to the University of Arizona, 178 pages including 53 heavily compressed images; high resolution version is available at http://www.optics.arizona.edu/Anderson/
null
null
null
cond-mat.other
null
An apparatus for producing atomic-gas Bose-Einstein condensates (BECs) of 87-Rb atoms is described. The apparatus produces 87-Rb BECs in a dual-chamber vacuum system that incorporates magnetic transport of trapped atoms from the magneto-optical trapping cell to the BEC production cell via the operation of a series of overlapping magnet coils. The design, construction, and operation of the apparatus are described in detail. The apparatus is used to study the creation of quantized vortices in BECs by the merging and interference of multiple trapped condensates. In this experiment, a single harmonic potential well is partitioned into three sections by an optical barrier, enabling the simultaneous formation of three independent, uncorrelated BECs. The BECs may either merge together during their growth, or, for high-energy barriers, the BECs can be merged together by barrier removal after their formation. Either process may instigate vortex formation in the resulting BEC, depending on the initially indeterminate relative phases of the condensates and the merging rate.
[ { "version": "v1", "created": "Sun, 15 Apr 2007 21:39:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Scherer", "David R.", "" ] ]
0704.2055
Paul Seidel
Paul Seidel
A biased view of symplectic cohomology
37 pages, 2 figures; v2 has added references, slightly expanded discussion of algorithmic recognizability, more balanced account of early developments; v3 has clarifications in the discussion of equivariant symplectic cohomology; v4 with terminology change (Liouville instead of Weinstein), by popular request; v5, one nasty typo removed
null
null
null
math.SG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
These are lecture notes from my talks at the "Current Developments in Mathematics" conference (Harvard, 2006). They cover a variety of topics involving symplectic cohomology. In particular, a discussion of (algorithmic) classification issues in symplectic and contact topology is included.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 18:00:36 GMT" }, { "version": "v2", "created": "Sat, 21 Apr 2007 15:41:01 GMT" }, { "version": "v3", "created": "Thu, 26 Apr 2007 19:54:06 GMT" }, { "version": "v4", "created": "Mon, 2 Jul 2007 15:05:35 GMT" }, { "version": "v5", "created": "Fri, 12 Feb 2010 17:44:43 GMT" }, { "version": "v6", "created": "Mon, 15 Feb 2010 15:36:49 GMT" } ]
2010-02-15T00:00:00
[ [ "Seidel", "Paul", "" ] ]
0704.2056
Mohammadreza Hadizadeh
M. R. Hadizadeh and S. Bayegan
Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
23 pages, 2 eps figures, 5 tables. Major changes; version to appear in European Physical Journal A
Eur. Phys. J. A 36, 201-209 (2008)
10.1140/epja/i2008-10583-8
null
nucl-th
null
The four-body Yakubovsky equations in a Three-Dimensional approach with the inclusion of the three-body forces is proposed. The four-body bound state with two- and three-body interactions is formulated in Three-Dimensional approach for identical particles as function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angles between them. The modified three dimensional Yakubovsky integral equations is successfully solved with the scalar two-meson exchange three-body force where the Malfliet-Tjon-type two-body force is implemented. The three-body force effects on the energy eigenvalue and the four-body wave function, as well as accuracy of our numerical calculations are presented.The four-body Yakubovsky equations in a Three-Dimensional approach with the inclusion of the three-body forces is proposed. The four-body bound state with two- and three-body interactions is formulated in Three-Dimensional approach for identical particles as function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angles between them. The modified three dimensional Yakubovsky integral equations is successfully solved with the scalar two-meson exchange three-body force where the Malfliet-Tjon-type two-body force is implemented. The three-body force effects on the energy eigenvalue and the four-body wave function, as well as accuracy of our numerical calculations are presented.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 18:01:09 GMT" }, { "version": "v2", "created": "Tue, 29 Apr 2008 14:37:08 GMT" } ]
2008-05-25T00:00:00
[ [ "Hadizadeh", "M. R.", "" ], [ "Bayegan", "S.", "" ] ]
0704.2057
Pauline Barmby
P. Barmby, D.E. McLaughlin, W.E. Harris, G.L.H. Harris, D.A. Forbes
Structural parameters for globular clusters in M31 and generalizations for the fundamental plane
AJ in press; 59 pages including 16 figures
Astron.J.133:2764-2786,2007
10.1086/516777
null
astro-ph
null
The structures of globular clusters (GCs) reflect their dynamical states and past histories. High-resolution imaging allows the exploration of morphologies of clusters in other galaxies. Surface brightness profiles from new Hubble Space Telescope observations of 34 globular clusters in M31 are presented, together with fits of several different structural models to each cluster. M31 clusters appear to be adequately fit by standard King models, and do not obviously require alternate descriptions with relatively stronger halos, such as are needed to fit many GCs in other nearby galaxies. The derived structural parameters are combined with corrected versions of those measured in an earlier survey to construct a comprehensive catalog of structural and dynamical parameters for M31 GCs with a sample size similar to that for the Milky Way. Clusters in M31, the Milky Way, Magellanic Clouds, Fornax dwarf spheroidal and NGC 5128 define a very tight fundamental plane with identical slopes. The combined evidence for these widely different galaxies strongly reinforces the view that old globular clusters have near-universal structural properties regardless of host environment.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 18:01:15 GMT" } ]
2009-06-23T00:00:00
[ [ "Barmby", "P.", "" ], [ "McLaughlin", "D. E.", "" ], [ "Harris", "W. E.", "" ], [ "Harris", "G. L. H.", "" ], [ "Forbes", "D. A.", "" ] ]
0704.2058
Craig DeForest
Craig E. DeForest, Charles C. Kankelborg
The Sensitivity of Hybrid Differential Stereoscopy for Spectral Imaging
Submitted to APJ Suppl. Ser
null
null
null
astro-ph
null
Stereoscopic spectral imaging is an observing technique that affords rapid acquisition of limited spectral information over an entire image plane simultaneously. Light from a telescope is dispersed into multiple spectral orders, which are imaged separately, and two or more of the dispersed images are combined using an analogy between the (x,y,\lambda) spectral data space and conventional (x,y,z) three-space. Because no photons are deliberately destroyed during image acquisition, the technique is much more photon-efficient in some observing regimes than existing techniques such as scanned-filtergraph or scanned-slit spectral imaging. Hybrid differential stereoscopy, which uses a combination of conventional cross-correlation stereoscopy and linear approximation theory to extract the central wavelength of a spectral line, has been used to produce solar Stokes-V (line-of-sight) magnetograms in the 617.34 nm Fe I line, and more sophisticated inversion techniques are currently being used to derive Doppler and line separation data from EUV images of the solar corona collected in the neighboring lines of He-II and Si-XI at 30.4 nm. In this paper we develop an analytic a priori treatment of noise in the line shift signal derived from hybrid differential stereoscopy. We use the analysis to estimate the noise level and measurement precision in a high resolution solar magnetograph based on stereoscopic spectral imaging, compare those estimates to a test observation made in 2003, and discuss implications for future instruments.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 19:48:27 GMT" } ]
2007-05-23T00:00:00
[ [ "DeForest", "Craig E.", "" ], [ "Kankelborg", "Charles C.", "" ] ]
0704.2059
Joannah L. Hinz
J. L. Hinz, M. J. Rieke, G. H. Rieke, C. N. A. Willmer, K. Misselt, C. W. Engelbracht, M. Blaylock (U. Arizona), T. E. Pickering (MMTO)
Spitzer Observations of Low Luminosity Isolated and Low Surface Brightness Galaxies
20 pages, 8 figures, accepted to ApJ
Astrophys.J.663:895-907,2007
10.1086/518817
null
astro-ph
null
We examine the infrared properties of five low surface brightness galaxies (LSBGs) and compare them with related but higher surface brightness galaxies, using Spitzer Space Telescope images and spectra. All the LSBGs are detected in the 3.6 and 4.5um bands, representing the stellar population. All but one are detected at 5.8 and 8.0um, revealing emission from hot dust and aromatic molecules, though many are faint or point-like at these wavelengths. Detections of LSBGs at the far-infrared wavelengths, 24, 70, and 160um, are varied in morphology and brightness, with only two detections at 160um, resulting in highly varied spectral energy distributions. Consistent with previous expectations for these galaxies, we find that detectable dust components exist for only some LSBGs, with the strength of dust emission dependent on the existence of bright star forming regions. However, the far-infrared emission may be relatively weak compared with normal star-forming galaxies.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 18:18:40 GMT" } ]
2009-06-23T00:00:00
[ [ "Hinz", "J. L.", "", "U. Arizona" ], [ "Rieke", "M. J.", "", "U. Arizona" ], [ "Rieke", "G. H.", "", "U. Arizona" ], [ "Willmer", "C. N. A.", "", "U. Arizona" ], [ "Misselt", "K.", "", "U. Arizona" ], [ "Engelbracht", "C. W.", "", "U. Arizona" ], [ "Blaylock", "M.", "", "U. Arizona" ], [ "Pickering", "T. E.", "", "MMTO" ] ]
0704.2060
Tayseer Abu Alrub T. Abu Alrub
T. R. Abu Alrub, S. H. Curnoe
Symmetry properties of the nodal superconductor PrOs4Sb12
to appear in Phys. Rev. B 76
Phys. Rev. B 76, 054514 (2007)
10.1103/PhysRevB.76.054514
null
cond-mat.supr-con
null
We present a theoretical study of the superconducting gap function in PrOs4Sb12 using a symmetry-based approach. A three-component order parameter in the triplet channel best describes superconductivity. The gap function is non-degenerate and the lower branch has four cusp nodes at unusual points of the Fermi surface, which lead to power law behaviours in the density of states, specific heat and nuclear spin relaxation rate.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 19:25:41 GMT" }, { "version": "v2", "created": "Mon, 6 Aug 2007 01:07:25 GMT" } ]
2011-11-09T00:00:00
[ [ "Alrub", "T. R. Abu", "" ], [ "Curnoe", "S. H.", "" ] ]
0704.2061
Fedir Kyrychenko
F.V. Kyrychenko and C.A. Ullrich
Memory function formalism approach to electrical conductivity and optical response of dilute magnetic semiconductors
Proceedings of the 13th Brazilian Workshop on Semiconductors Physics
null
null
null
cond-mat.mtrl-sci
null
A combination of the memory function formalism and time-dependent density-functional theory is applied to transport in dilute magnetic semiconductors. The approach considers spin and charge disorder and electron-electron interaction on an equal footing. Within the weak disorder limit and using a simple parabolic approximation for the valence band we show that Coulomb and exchange scattering contributions to the resistivity in GaMnAs are of the same order of magnitude. The positional correlations of defects result in a significant increase of Coulomb scattering, while the suppression of localized spin fluctuations in the ferromagnetic phase contributes substantially to the experimentally observed drop of resistivity below T_c. A proper treatment of dynamical screening and collective excitations is essential for an accurate description of infrared absorption.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 19:34:15 GMT" } ]
2007-05-23T00:00:00
[ [ "Kyrychenko", "F. V.", "" ], [ "Ullrich", "C. A.", "" ] ]
0704.2062
Sergiu Vacaru I.
Sergiu I. Vacaru
Nonholonomic Ricci Flows: III. Curve Flows and Solitonic Hierarchies
47 pages, latex2e [12pt], version 2 with minor grammar modifications
null
null
null
math.DG gr-qc hep-th math-ph math.MP nlin.SI
null
The geometric constructions are elaborated on (semi) Riemannian manifolds and vector bundles provided with nonintegrable distributions defining nonlinear connection structures induced canonically by metric tensors. Such spaces are called nonholonomic manifolds and described by two equivalent linear connections also induced in unique forms by a metric tensor (the Levi Civita and the canonical distinguished connection, d-connection). The lifts of geometric objects on tangent bundles are performed for certain classes of d-connections and frame transforms when the Riemann tensor is parametrized by constant matrix coefficients. For such configurations, the flows of non-stretching curves and corresponding bi-Hamilton and solitonic hierarchies encode information about Ricci flow evolution, Einstein spaces and exact solutions in gravity and geometric mechanics. The applied methods were elaborated formally in Finsler geometry and allows us to develop the formalism for generalized Riemann-Finsler and Lagrange spaces. Nevertheless, all geometric constructions can be equivalently re-defined for the Levi Civita connections and holonomic frames on (semi) Riemannian manifolds.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 23:08:08 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 22:36:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Vacaru", "Sergiu I.", "" ] ]
0704.2063
Tsvi Piran
Yi-Zhong Fan, Tsvi Piran, Ramesh Narayan and Da-Ming Wei
High Energy Afterglow from Gamma-ray Bursts
15 pages, 15 eps figures and 1 table, slightly modified version to appear in MNRAS. Fig.12 is added to illustrate the difference of the EIC emission lightcurves with and without the anisotropic correction in the comoving frame of the blast wave
Mon.Not.Roy.Astron.Soc. 384 (2008) 1483-1501
10.1111/j.1365-2966.2007.12765.x
null
astro-ph
null
We calculate the very high energy (sub-GeV to TeV) inverse Compton emission of GRB afterglows. We argue that this emission provides a powerful test of the currently accepted afterglow model. We focus on two processes: synchrotron self-Compton (SSC) emission within the afterglow blast wave, and external inverse Compton (EIC) emission which occurs when flare photons (produced by an internal process) pass through the blast wave. We show that if our current interpretations of the Swift XRT data are correct, there should be a canonical high energy afterglow emission light curve. Our predictions can be tested with high energy observatories such as GLAST, Whipple, H.E.S.S. and MAGIC. Under favorable conditions we expect afterglow detections in all these detectors.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 08:09:01 GMT" }, { "version": "v2", "created": "Thu, 13 Dec 2007 16:42:22 GMT" }, { "version": "v3", "created": "Wed, 26 Dec 2007 12:18:49 GMT" } ]
2008-03-04T00:00:00
[ [ "Fan", "Yi-Zhong", "" ], [ "Piran", "Tsvi", "" ], [ "Narayan", "Ramesh", "" ], [ "Wei", "Da-Ming", "" ] ]
0704.2064
Eric Linder
Eric V. Linder
The Dynamics of Quintessence, The Quintessence of Dynamics
15 pages, 6 figures, review article for General Relativity and Gravitation; v2 minor changes to match journal version
Gen.Rel.Grav.40:329-356,2008
10.1007/s10714-007-0550-z
null
astro-ph
null
Quintessence theories for cosmic acceleration imbue dark energy with a non-trivial dynamics that offers hope in distinguishing the physical origin of the component. We review quintessence models with an emphasis on this dynamics and discuss classifications of the different physical behaviors. The pros and cons of various parameterizations are examined as well as the extension from scalar fields to other modifications of the Friedmann expansion equation. New results on the ability of cosmological data to distinguish among and between thawing and freezing fields are presented.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 20:00:05 GMT" }, { "version": "v2", "created": "Wed, 13 Jun 2007 19:36:11 GMT" } ]
2009-06-23T00:00:00
[ [ "Linder", "Eric V.", "" ] ]
0704.2065
Jonathan A. Jones
J. A. Jones
Comment on "NMR Experiment Factors Numbers with Gauss Sums"
1 page RevTex4; submitted to PRL
null
null
null
quant-ph
null
Mehring et al. have recently described an elegant nuclear magnetic resonance (NMR) experiment implementing an algorithm to factor numbers based on the properties of Gauss sums. Similar experiments have also been described by Mahesh et al. In fact these algorithms do not factor numbers directly, but rather check whether a trial integer $\ell$ is a factor of a given integer $N$. Here I show that these NMR schemes cannot be used for factor checking without first implicitly determining whether or not $\ell$ is a factor of $N$.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 20:00:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Jones", "J. A.", "" ] ]
0704.2066
Dominic William Berry
Dominic W. Berry
Lower bounds for communication capacities of two-qudit unitary operations
9 pages, 2 figures, comments welcome
null
10.1103/PhysRevA.76.062302
null
quant-ph
null
We show that entangling capacities based on the Jamiolkowski isomorphism may be used to place lower bounds on the communication capacities of arbitrary bipartite unitaries. Therefore, for these definitions, the relations which have been previously shown for two-qubit unitaries also hold for arbitrary dimensions. These results are closely related to the theory of the entanglement-assisted capacity of channels. We also present more general methods for producing ensembles for communication from initial states for entanglement creation.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 06:34:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Berry", "Dominic W.", "" ] ]
0704.2067
Spyros Avramis
Spyros D. Avramis, Konstadinos Sfetsos, Dimitrios Zoakos
Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
53 pages, 5 figures; v3: version to appear in Nucl. Phys. B
Nucl.Phys.B787:55-97,2007
10.1016/j.nuclphysb.2007.07.017
null
hep-th
null
We apply the Lunin--Maldacena construction of gravity duals to beta-deformed gauge theories to a class of Type IIB backgrounds with U(1)^3 global symmetry, which include the multicenter D3-brane backgrounds dual to the Coulomb branch of N=4 super Yang-Mills and the rotating D3-brane backgrounds dual to the theory at finite temperature and chemical potential. After a general discussion, we present the full form of the deformed metrics for three special cases, which can be used for the study of various aspects of the marginally-deformed gauge theories. We also construct the Penrose limits of the solutions dual to the Coulomb branch along a certain set of geodesics and, for the resulting PP--wave metrics, we examine the effect of beta-deformations on the giant graviton states. We find that giant gravitons exist only up to a critical value of the sigma-deformation parameter, are not degenerate in energy with the point graviton, and remain perturbatively stable. Finally, we probe the sigma-deformed multicenter solutions by examining the static heavy-quark potential by means of Wilson loops. We find situations that give rise to complete screening as well as linear confinement, with the latter arising is an intriguing way reminiscent of phase transitions in statistical systems.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 20:24:49 GMT" }, { "version": "v2", "created": "Fri, 27 Apr 2007 11:04:51 GMT" }, { "version": "v3", "created": "Thu, 16 Aug 2007 20:18:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Avramis", "Spyros D.", "" ], [ "Sfetsos", "Konstadinos", "" ], [ "Zoakos", "Dimitrios", "" ] ]
0704.2068
Vianney Lebouteiller
V. Lebouteiller, B. Brandl, J. Bernard-Salas, D. Devost, J. R. Houck
PAH Strength and the Interstellar Radiation Field around the Massive Young Cluster NGC3603
Accepted for publication in ApJ. Corrected typos
Astrophys.J.665:390-401,2007
10.1086/519014
null
astro-ph
null
We present spatial distribution of polycyclic aromatic hydrocarbons and ionized gas within the Galactic giant HII region NGC3603. Using the IRS instrument on board the Spitzer Space Telescope, we study in particular the PAH emission features at ~5.7, 6.2, 7.7, 8.6, and 11.3um, and the [ArII] 6.99um, [NeII] 12.81um, [ArIII] 8.99um, and [SIV] 10.51um forbidden emission lines. The observations probe both ionized regions and photodissociation regions. Silicate emission is detected close to the central cluster while silicate absorption is seen further away. We find no significant variation of the PAH ionization fraction across the whole region. The emission of very small grains lies closer to the central stellar cluster than emission of PAHs. The PAH/VSG ratio anticorrelates with the hardness of the interstellar radiation field suggesting a destruction mechanism of the molecules within the ionized gas, as shown for low-metallicity galaxies by Madden et al. (2006).
[ { "version": "v1", "created": "Mon, 16 Apr 2007 20:03:35 GMT" }, { "version": "v2", "created": "Wed, 18 Apr 2007 15:40:20 GMT" } ]
2009-06-23T00:00:00
[ [ "Lebouteiller", "V.", "" ], [ "Brandl", "B.", "" ], [ "Bernard-Salas", "J.", "" ], [ "Devost", "D.", "" ], [ "Houck", "J. R.", "" ] ]
0704.2069
Charles Young
C. A. S. Young
q-Deformed Supersymmetry and Dynamic Magnon Representations
15 pages, LaTeX; (v2) references added
J.Phys.A40:9165-9176,2007
10.1088/1751-8113/40/30/033
DCPT-07/09
hep-th
null
It was recently noted that the dispersion relation for the magnons of planar N=4 SYM can be identified with the Casimir of a certain deformation of the Poincare algebra, in which the energy and momentum operators are supplemented by a boost generator J. By considering the relationship between J and su(2|2) x R^2, we derive a q-deformed super-Poincare symmetry algebra of the kinematics. Using this, we show that the dynamic magnon representations may be obtained by boosting from a fixed rest-frame representation. We comment on aspects of the coalgebra structure and some implications for the question of boost-covariance of the S-matrix.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 16:23:24 GMT" }, { "version": "v2", "created": "Tue, 24 Apr 2007 10:39:45 GMT" } ]
2008-11-26T00:00:00
[ [ "Young", "C. A. S.", "" ] ]
0704.2070
Elias C. Vagenas
M. R. Setare, Elias C. Vagenas
The Cosmological Dynamics of Interacting Holographic Dark Energy Model
v1: 9 pages, LaTeX; v2: 12 pages, comments and clarifications added, to appear in IJMPD
Int.J.Mod.Phys.D18:147-157,2009
10.1142/S0218271809014303
null
hep-th astro-ph gr-qc
null
Motivated by the recent observations for the cosmic acceleration and the suitable evolution of the Universe provided an interaction (decay of dark energy to matter) is incorporated in a cosmological model, we study the cosmological evolution of the Interacting Holographic Dark Energy scenario. Critical points are derived and their corresponding cosmological models are presented. The dynamical character of these models is revealed.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 20:59:40 GMT" }, { "version": "v2", "created": "Tue, 29 Apr 2008 05:30:24 GMT" } ]
2009-03-24T00:00:00
[ [ "Setare", "M. R.", "" ], [ "Vagenas", "Elias C.", "" ] ]
0704.2071
Tomasz Taylor
Tomasz R. Taylor
Non-commutative Field Theory with Twistor-like Coordinates
Momentum-dependence of the propagator and more details. Final version for Physics Letters B
Phys.Lett.B656:141-144,2007
10.1016/j.physletb.2007.09.014
null
hep-th gr-qc math-ph math.MP
null
We consider quantum field theory in four-dimensional Minkowski spacetime, with the position coordinates represented by twistors instead of the usual world-vectors. Upon imposing canonical commutation relations between twistors and dual twistors, quantum theory of fields described by non-holomorphic functions of twistor variables becomes manifestly non-commutative, with Lorentz symmetry broken by a time-like vector. We discuss the free field propagation and its impact on the short- and long-distance behavior of physical amplitudes in perturbation theory. In the ultraviolet limit, quantum field theories in twistor space are generically less divergent than their commutative counterparts. Furthermore, there is no infrared--ultraviolet mixing problem.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 21:00:24 GMT" }, { "version": "v2", "created": "Sun, 16 Sep 2007 23:01:12 GMT" } ]
2008-11-26T00:00:00
[ [ "Taylor", "Tomasz R.", "" ] ]
0704.2072
Peter Kammel
V.A. Andreev, T.I. Banks, T.A. Case, D.B. Chitwood, S.M. Clayton, K.M. Crowe, J. Deutsch, J. Egger, S.J. Freedman, V.A. Ganzha, T. Gorringe, F.E. Gray, D.W. Hertzog, M. Hildebrandt, P. Kammel, B. Kiburg, S. Knaack, P.A. Kravtsov, A.G. Krivshich, B. Lauss, K.L. Lynch, E.M. Maev, O.E. Maev, F. Mulhauser, C.S. \"Ozben, C. Petitjean, G.E. Petrov, R. Prieels, G.N. Schapkin, G.G. Semenchuk, M.A. Soroka, V. Tishchenko, A.A. Vasilyev, A.A. Vorobyov, M.E. Vznuzdaev, P. Winter
Measurement of the Rate of Muon Capture in Hydrogen Gas and Determination of the Proton's Pseudoscalar Coupling $g_P$
submitted to Phys.Rev.Lett
Phys.Rev.Lett.99:032002,2007
10.1103/PhysRevLett.99.032002
null
nucl-ex
null
The rate of nuclear muon capture by the proton has been measured using a new experimental technique based on a time projection chamber operating in ultra-clean, deuterium-depleted hydrogen gas at 1 MPa pressure. The capture rate was obtained from the difference between the measured $\mu^-$ disappearance rate in hydrogen and the world average for the $\mu^+$ decay rate. The target's low gas density of 1% compared to liquid hydrogen is key to avoiding uncertainties that arise from the formation of muonic molecules. The capture rate from the hyperfine singlet ground state of the $\mu p$ atom is measured to be $\Lambda_S=725.0 \pm 17.4 s^{-1}$, from which the induced pseudoscalar coupling of the nucleon, $g_P(q^2=-0.88 m_\mu^2)=7.3 \pm 1.1$, is extracted. This result is consistent with theoretical predictions for $g_P$ that are based on the approximate chiral symmetry of QCD.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 21:26:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Andreev", "V. A.", "" ], [ "Banks", "T. I.", "" ], [ "Case", "T. A.", "" ], [ "Chitwood", "D. B.", "" ], [ "Clayton", "S. M.", "" ], [ "Crowe", "K. M.", "" ], [ "Deutsch", "J.", "" ], [ "Egger", "J.", "" ], [ "Freedman", "S. J.", "" ], [ "Ganzha", "V. A.", "" ], [ "Gorringe", "T.", "" ], [ "Gray", "F. E.", "" ], [ "Hertzog", "D. W.", "" ], [ "Hildebrandt", "M.", "" ], [ "Kammel", "P.", "" ], [ "Kiburg", "B.", "" ], [ "Knaack", "S.", "" ], [ "Kravtsov", "P. A.", "" ], [ "Krivshich", "A. G.", "" ], [ "Lauss", "B.", "" ], [ "Lynch", "K. L.", "" ], [ "Maev", "E. M.", "" ], [ "Maev", "O. E.", "" ], [ "Mulhauser", "F.", "" ], [ "Özben", "C. S.", "" ], [ "Petitjean", "C.", "" ], [ "Petrov", "G. E.", "" ], [ "Prieels", "R.", "" ], [ "Schapkin", "G. N.", "" ], [ "Semenchuk", "G. G.", "" ], [ "Soroka", "M. A.", "" ], [ "Tishchenko", "V.", "" ], [ "Vasilyev", "A. A.", "" ], [ "Vorobyov", "A. A.", "" ], [ "Vznuzdaev", "M. E.", "" ], [ "Winter", "P.", "" ] ]
0704.2073
Allard Jan van Marle
A. J. van Marle, N. Langer, G. garcia-Segura
Constraints on gamma-ray burst and supernova progenitors through circumstellar absorption lines. (II): Post-LBV Wolf-Rayet stars
accepted for publication by A&A
null
10.1051/0004-6361:20077207
null
astro-ph
null
Van Marle et al. (2005) showed that circumstellar absorption lines in early Type Ib/c supernova and gamma-ray burst afterglow spectra may reveal the progenitor evolution of the exploding Wolf-Rayet star. While the quoted paper deals with Wolf-Rayet stars which evolved through a red supergiant stage, we investigate here the initially more massive Wolf-Rayet stars which are thought to evolve through a Luminous Blue Variable (LBV) stage. We perform hydrodynamic simulations of the evolution of the circumstellar medium around a 60 Msol star, from the main sequence through the LBV and Wolf-Rayet stages, up to core collapse. We then compute the column density of the circumstellar matter as a function of radial velocity, time and angle. This allows a comparison with the number and blue-shifts, of absorption components in the spectra of LBVs, Wolf-Rayet stars, Type Ib/c supernovae and gamma-ray burst afterglows. Our simulation for the post-LBV stage shows the formation of various absorption components, which are, however, rather short lived; they dissipate on time scales shorter than 50,000yr. As the LBV stage is thought to occur at the beginning of core helium burning, the remaining Wolf-Rayet life time is expected to be one order of magnitude larger. When interpreting the absorption components in the afterglow spectrum of GRB-021004 as circumstellar, it can be concluded that the progenitor of this source did most likely not evolve through an LBV stage. However, a close binary with late common-envelope phase (Case C) may produce a circumstellar medium that closely resembles the LBV to Wolf-Rayet evolution, but with a much shorter Wolf-Rayet period.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 21:23:17 GMT" } ]
2009-11-13T00:00:00
[ [ "van Marle", "A. J.", "" ], [ "Langer", "N.", "" ], [ "garcia-Segura", "G.", "" ] ]
0704.2074
Wim de Vries
W. H. de Vries (1,2), J. A. Hodge (1), R. H. Becker (1,2), R. L. White (3), and D. J. Helfand (4)((1) University of California, Davis, (2) IGPP, Lawrence Livermore National Laboratory, Livermore,(3) Space Telescope Science Institute, Baltimore, (4) Columbia University, New York)
Star-Formation in Low Radio Luminosity AGN from the Sloan Digital Sky Survey
Accepted for publication in Astronomical Journal; 15 pages, 8 color figures
Astron.J.134:457-465,2007
10.1086/518866
null
astro-ph
null
We investigate faint radio emission from low- to high-luminosity Active Galactic Nuclei (AGN) selected from the Sloan Digital Sky Survey (SDSS). Their radio properties are inferred by co-adding large ensembles of radio image cut-outs from the FIRST survey, as almost all of the sources are individually undetected. We correlate the median radio flux densities against a range of other sample properties, including median values for redshift, [OIII] luminosity, emission line ratios, and the strength of the 4000A break. We detect a strong trend for sources that are actively undergoing star-formation to have excess radio emission beyond the ~10^28 ergs/s/Hz level found for sources without any discernible star-formation. Furthermore, this additional radio emission correlates well with the strength of the 4000A break in the optical spectrum, and may be used to assess the age of the star-forming component. We examine two subsamples, one containing the systems with emission line ratios most like star-forming systems, and one with the sources that have characteristic AGN ratios. This division also separates the mechanism responsible for the radio emission (star-formation vs. AGN). For both cases we find a strong, almost identical, correlation between [OIII] and radio luminosity, with the AGN sample extending toward lower, and the star-formation sample toward higher luminosities. A clearer separation between the two subsamples is seen as function of the central velocity dispersion of the host galaxy. For systems with similar redshifts and velocity dispersions, the star-formation subsample is brighter than the AGN in the radio by an order of magnitude. This underlines the notion that the radio emission in star-forming systems can dominate the emission associated with the AGN.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 21:40:40 GMT" } ]
2008-11-26T00:00:00
[ [ "de Vries", "W. H.", "" ], [ "Hodge", "J. A.", "" ], [ "Becker", "R. H.", "" ], [ "White", "R. L.", "" ], [ "Helfand", "D. J.", "" ] ]
0704.2075
Grzegorz Pietrzynski
G. Pietrzynski, W. Gieren, A. Udalski, I. Soszynski, F. Bresolin, R.P. Kudritzki, A. Garcia, D. Minniti, R. Mennickent, O. Szewczyk, M. Szymanski, M. Kubiak, L. Wyrzykowski
The Araucaria Project. The Distance to the Local Group Galaxy WLM from Cepheid Variables discovered in a Wide-Field Imaging Survey
AJ accepted
Astron.J.134:594-603,2007
10.1086/518599
null
astro-ph
null
We have conducted an extensive wide-field imaging survey for Cepheid variables in the Local Group irregular galaxy WLM. From data obtained on 101 nights, we have discovered 60 Cepheids which include 14 of the 15 Cepheid variables previously detected by Sandage and Carlson. Down to a period of 3 days, our Cepheid survey in WLM should be practically complete. Importantly, we have found for the first time a long-period Cepheid (P=54.2 days) in this galaxy, alleviating the puzzle that WLM with its many blue, massive stars does not contain Cepheids with periods longer than about 10 days. Our data define tight period-luminosity relations in V, I and the reddening-free Wesenheit magnitude ${\rm W}_{\rm I}$ which are all extremely well fit by the corresponding slopes of the LMC Cepheid PL relation, suggesting no change of the PL relation slope down to a Cepheid metal abundance of about -1.0 dex, in agreement with other recent studies. We derive a true distance modulus to WLM of 25.144 $\pm$0.03 (r) $\pm$0.07 (s) mag from our data, in good agreement with the earlier 24.92 $\pm$ 0.21 mag determination of Lee, Freedman and Madore (1993a) from Cepheid variables. The quoted value of the systematic uncertainty does not include the contribution from the LMC distance which we have assumed to be 18.50 mag, as in the previous papers in our project.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 21:49:55 GMT" } ]
2009-06-23T00:00:00
[ [ "Pietrzynski", "G.", "" ], [ "Gieren", "W.", "" ], [ "Udalski", "A.", "" ], [ "Soszynski", "I.", "" ], [ "Bresolin", "F.", "" ], [ "Kudritzki", "R. P.", "" ], [ "Garcia", "A.", "" ], [ "Minniti", "D.", "" ], [ "Mennickent", "R.", "" ], [ "Szewczyk", "O.", "" ], [ "Szymanski", "M.", "" ], [ "Kubiak", "M.", "" ], [ "Wyrzykowski", "L.", "" ] ]
0704.2076
Jiannis Pachos
Paolo Maraner and Jiannis K. Pachos
Universal Features of Dimensional Reduction Schemes from General Covariance Breaking
16 pages, no figures, references added
AnnalsPhys.323:2044-2072,2008
10.1016/j.aop.2007.11.004
null
hep-th gr-qc math-ph math.DG math.MP quant-ph
null
Many features of dimensional reduction schemes are determined by the breaking of higher dimensional general covariance associated with the selection of a particular subset of coordinates. By investigating residual covariance we introduce lower dimensional tensors --generalizing to one side Kaluza-Klein gauge fields and to the other side extrinsic curvature and torsion of embedded spaces-- fully characterizing the geometry of dimensional reduction. We obtain general formulas for the reduction of the main tensors and operators of Riemannian geometry. In particular, we provide what is probably the maximal possible generalization of Gauss, Codazzi and Ricci equations and various other standard formulas in Kaluza-Klein and embedded spacetimes theories. After general covariance breaking, part of the residual covariance is perceived by effective lower dimensional observers as an infinite dimensional gauge group. This reduces to finite dimensions in Kaluza-Klein and other few remarkable backgrounds, all characterized by the vanishing of appropriate lower dimensional tensors.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 21:55:20 GMT" }, { "version": "v2", "created": "Sun, 14 Oct 2007 15:29:45 GMT" } ]
2008-11-26T00:00:00
[ [ "Maraner", "Paolo", "" ], [ "Pachos", "Jiannis K.", "" ] ]
0704.2077
Jeff Tallon
N. Suresh and J.L. Tallon
Thermodynamic properties of Pb determined from pressure-dependent critical-field measurements
5 pages, 6 figures, in press Phys. Rev. B
null
10.1103/PhysRevB.75.174502
null
cond-mat.supr-con
null
We have carried out extensive low-temperature (1.5 to 10 K) measurements of the critical field, $H_c$, for the element Pb up to a pressure of $P=1.2$ GPa. From this data the electronic entropy, specific heat, thermal expansion coefficient and compressibility is calculated as a function of temperature, pressure and magnetic field. The zero-field data is consistent with direct thermodynamic measurements and the $P$-dependence of $T_c$ and specific heat coefficient, $\gamma(T,P)$ allows the determination of the $P$-dependence of the pairing interaction.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 23:17:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Suresh", "N.", "" ], [ "Tallon", "J. L.", "" ] ]
0704.2078
John Hegseth
John Hegseth
Quantum theory from Hamilton's Principle with imperfect information
4 pages, 3 figures
null
null
null
quant-ph
null
Many quantization schemes rely on analogs of classical mechanics where the connections with classical mechanics are indirect. In this work I propose a new and direct connection between classical mechanics and quantum mechanics where the quantum mechanical propagator is derived from a variational principle. This principle allows a physical system to have imperfect information, i.e., there is incomplete knowledge of the physical state, and many paths are allowed.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 23:13:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Hegseth", "John", "" ] ]
0704.2079
George Pavlov
G. G. Pavlov, O. Kargaltsev, G. P. Garmire, A. Wolszczan
X-ray emission from the planet pulsar B1257+12
8 pages, 4 figures, emulateapj.sty; accepted for publication in Astrophysical Journal
Astrophys.J.664:1072-1078,2007
10.1086/518926
null
astro-ph
null
We report the detection of the millisecond pulsar B1257+12 with the Chandra X-ray Observatory. In a 20 ks exposure we detected 25 photons from the pulsar, with energies between 0.4 and 2.0 keV, corresponding to the flux F_X=(4.4+/- 0.9)*10^{-15} ergs s^{-1} cm^{-2} in this energy range. The X-ray spectrum can be described by a power-law model with photon index Gamma = 2.8 and luminosity L_X \approx 2.5*10^{29} ergs s^{-1} in the 0.3--8 keV band, for a plausible distance of 500 pc and hydrogen column density N_H=3*10^{20} cm^{-2}. Alternatively, the spectrum can be fitted by a blackbody model with kT ~ 0.22 keV and projected emitting area ~2000 m^2. If the thermal X-rays are emitted from two symmetric polar caps, the bolometric luminosity of the two caps is 2 L_bol ~ 3*10^{29} ergs s^{-1}. We compared our results with the data on other 30 millisecond pulsars observed in X-rays and found that the apparent X-ray efficiency of PSR B1257+12, L_X/Edot ~ 3*10^{-5} for d=500 pc, is lower than those of most of millisecond pulsars. This might be explained by an unfavorable orientation of the X-ray pulsar beam if the radiation is magnetospheric, or by strong asymmetry of polar caps if the radiation is thermal (e.g., one of the polar caps is much brighter than the other and remains invisible for most part of the pulsar period). Alternatively, it could be attributed to absorption of X-rays in circumpulsar matter, such as a flaring debris disk left over after formation of the planetary system around the pulsar.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 14:59:44 GMT" } ]
2009-06-23T00:00:00
[ [ "Pavlov", "G. G.", "" ], [ "Kargaltsev", "O.", "" ], [ "Garmire", "G. P.", "" ], [ "Wolszczan", "A.", "" ] ]
0704.2080
Romulus Godang
The BABAR Collaboration: B. Aubert, et al
Measurement of the Absolute Branching Fraction of D0 --> K- pi+
Revtex4, 7 pages, 2 figures, accepted by Physical Review Letters
Phys.Rev.Lett.100:051802,2008
10.1103/PhysRevLett.100.051802
BABAR-PUB-07/011, SLAC-PUB-12463
hep-ex
null
We measure the absolute branching fraction for D0 --> K- pi+ using partial reconstruction of B0bar --> D^{*+} X \ell^{-} \bar{\nu}_{\ell} decays, in which only the charged lepton and the pion from the decay D^{*+} --> D0 pi^+ are used. Based on a data sample of 230 million B Bbar pairs collected at the Upsilon(4S) resonance with the BABAR detector at the PEP-II asymmetric-energy B Factory at SLAC, we obtain the absolute branching fractions of D0 --> K- pi+ = (4.007 \pm 0.037 \pm 0.072)%, where the first uncertainty is statistical and the second is systematic.
[ { "version": "v1", "created": "Mon, 16 Apr 2007 23:44:50 GMT" }, { "version": "v2", "created": "Thu, 31 Jan 2008 15:00:46 GMT" } ]
2010-04-12T00:00:00
[ [ "The BABAR Collaboration", "", "" ], [ "Aubert", "B.", "" ] ]
0704.2081
Jean Cortissoz
Jean Cortissoz
Three-manifolds of positive Ricci curvature and convex weakly umbilic boundary
14 pages
null
null
null
math.DG
null
In this paper we consider three-manifolds with weakly umbilic boundary (the Second Fundamental form of the boundary is a constant multiple of the metric). We show that if the initial manifold has positive Ricci curvature and the boundary is convex (nonnegative Second Fundamental form), its metric can be deformed via the Ricci flow to a metric of constant curvature and totally geodesic boundary.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 00:14:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Cortissoz", "Jean", "" ] ]
0704.2082
Yuki Sato
Yuki Sato, Aditya Joshi, and Richard Packard
Direct measurement of quantum phase gradients in superfluid 4He flow
null
null
10.1103/PhysRevLett.98.195302
null
cond-mat.supr-con
null
We report a new kind of experiment in which we generate a known superfluid velocity in a straight tube and directly determine the phase difference across the tube's ends using a superfluid matter wave interferometer. By so doing, we quantitatively verify the relation between the superfluid velocity and the phase gradient of the condensate macroscopic wave function. Within the systematic error of the measurement (~10%) we find v_s=(hbar/m_4)*(grad phi).
[ { "version": "v1", "created": "Tue, 17 Apr 2007 00:51:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Sato", "Yuki", "" ], [ "Joshi", "Aditya", "" ], [ "Packard", "Richard", "" ] ]
0704.2083
Hassan Satori
H. Satori, M. Harti and N. Chenfour
Introduction to Arabic Speech Recognition Using CMUSphinx System
4 pages, 3 figures and 2 tables, was in Information and Communication Technologies International Symposium proceeding ICTIS07 Fes (2007)
null
null
null
cs.CL cs.AI
null
In this paper Arabic was investigated from the speech recognition problem point of view. We propose a novel approach to build an Arabic Automated Speech Recognition System (ASR). This system is based on the open source CMU Sphinx-4, from the Carnegie Mellon University. CMU Sphinx is a large-vocabulary; speaker-independent, continuous speech recognition system based on discrete Hidden Markov Models (HMMs). We build a model using utilities from the OpenSource CMU Sphinx. We will demonstrate the possible adaptability of this system to Arabic voice recognition.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 01:04:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Satori", "H.", "" ], [ "Harti", "M.", "" ], [ "Chenfour", "N.", "" ] ]
0704.2084
Neepa Maitra
Neepa T. Maitra and Kieron Burke
Comment on ``Analysis of Floquet formulation of time-dependent density-functional theory'' [Chem. Phys. Lett. {\bf 433} (2006), 204]
Will appear as a Comment in CPL, on the paper cited above that is also available at arXiv:cond-mat/0611428
null
null
null
cond-mat.mtrl-sci
null
We discuss the relationship between modern time-dependent density functional theory and earlier time-periodic versions, and why the criticisms in a recent paper (Chem. Phys. Lett. {\bf 433} (2006) 204) of our earlier analysis (Chem. Phys. Lett. {\bf 359} (2002) 237) are incorrect.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 01:13:32 GMT" } ]
2007-05-23T00:00:00
[ [ "Maitra", "Neepa T.", "" ], [ "Burke", "Kieron", "" ] ]
0704.2085
Y. M. Pihlstr\"om
Y.M. Pihlstr\"om (1), G.B. Taylor (1), J. Granot (2), S. Doeleman (3) ((1) University of New Mexico, (2) Kavli Institute of Particle Astrophysics and Cosmology, (3) MIT Haystack Observatory)
Stirring the Embers: High Sensitivity VLBI Observations of GRB030329
16 pages, 5 figures, accepted for publication in Astrophysical Journal
Astrophys.J.664:411-415,2007
10.1086/518955
null
astro-ph
null
We present high sensitivity Very Long Baseline Interferometry (VLBI) observations 806 days after the gamma-ray burst of 2003 March 29 (GRB030329). The angular diameter of the radio afterglow is measured to be 0.347 +- 0.09 mas, corresponding to 0.99 +- 0.26 pc at the redshift of GRB030329 (z = 0.1685). The evolution of the image size favors a uniform external density over an R^-2 wind-like density profile (at distances of R >~10^18 cm from the source), although the latter cannot be ruled out yet. The current apparent expansion velocity of the image size is only mildly relativistic, suggesting a non-relativistic transition time of t_NR ~ 1 yr. A rebrightening, or at least a significant flattening in the flux decay, is expected within the next several years as the counter-jet becomes visible (this has not yet been observed). An upper limit of <1.9c is set on the proper motion of the flux centroid.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 01:38:32 GMT" } ]
2010-11-11T00:00:00
[ [ "Pihlström", "Y. M.", "" ], [ "Taylor", "G. B.", "" ], [ "Granot", "J.", "" ], [ "Doeleman", "S.", "" ] ]
0704.2086
Hyerim Noh
J. Hwang and H. Noh
Third-order cosmological perturbations of zero-pressure multi-component fluids: Pure general relativistic nonlinear effects
20 pages, no figure
JCAP 0712:003,2007
10.1088/1475-7516/2007/12/003
null
astro-ph
null
Present expansion stage of the universe is believed to be mainly governed by the cosmological constant, collisionless dark matter and baryonic matter. The latter two components are often modeled as zero-pressure fluids. In our previous work we have shown that to the second-order cosmological perturbations, the relativistic equations of the zero-pressure, irrotational, multi-component fluids in a spatially near flat background effectively coincide with the Newtonian equations. As the Newtonian equations only have quadratic order nonlinearity, it is practically interesting to derive the potential third-order perturbation terms in general relativistic treatment which correspond to pure general relativistic corrections. Here, we present pure general relativistic correction terms appearing in the third-order perturbations of the multi-component zero-pressure fluids. We show that, as in a single component situation, the third-order correction terms are quite small (~ 5 x10^{-5} smaller compared with the relativistic/Newtonian second-order terms) due to the weak level anisotropy of the cosmic microwave background radiation. Still, there do exist pure general relativistic correction terms in third-order perturbations which could potentially become important in future development of precision cosmology. We include the cosmological constant in all our analyses.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 01:40:18 GMT" } ]
2009-06-23T00:00:00
[ [ "Hwang", "J.", "" ], [ "Noh", "H.", "" ] ]
0704.2087
Dafa Li
D. Li, X. Li, H. Huang, X. Li
The SLOCC invariant and the residual entanglement for n-qubits
22 pages, no figure, lemma 4 and corollary 3 and the conjecture for odd n-qubits in the previous version were deleted because they are not always true
PRA 76, 032304 (2007)
10.1103/PhysRevA.76.032304
null
quant-ph
null
In this paper, we find the invariant for $n$-qubits and propose the residual entanglement for $n$-qubits by means of the invariant. Thus, we establish a relation between SLOCC entanglement and the residual entanglement. The invariant and the residual entanglement can be used for SLOCC entanglement classification for $n$-qubits.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 02:02:12 GMT" }, { "version": "v2", "created": "Thu, 27 Sep 2007 09:34:28 GMT" } ]
2012-05-07T00:00:00
[ [ "Li", "D.", "" ], [ "Li", "X.", "" ], [ "Huang", "H.", "" ], [ "Li", "X.", "" ] ]
0704.2088
Shimul Akhanjee
Shimul Akhanjee
Exact longitudinal plasmon dispersion relations for one and two dimensional Wigner crystals
4 pages, 1 figure. Important typos and errors fixed, 2D dispersion added
Phys. Rev. B 76, 165129 (2007)
10.1103/PhysRevB.76.165129
null
cond-mat.str-el
null
We derive the exact longitudinal plasmon dispersion relations, $\omega(k)$ of classical one and two dimensional Wigner crystals at T=0 from the real space equations of motion, of which properly accounts for the full unscreened Coulomb interactions. We make use of the polylogarithm function in order to evaluate the infinite lattice sums of the electrostatic force constants. From our exact results we recover the correct long-wavelength behavior of previous approximate methods. In 1D, $\omega(k) \sim | k |\log ^{1/2} (1/k)$, validating the known RPA and bosonization form. In 2D $\omega(k) \sim \sqrt k$, agreeing remarkably with the celebrated Ewald summation result. Additionally, we extend this analysis to calculate the band structure of tight-binding models of non-interacting electrons with arbitrary power law hopping.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 02:39:42 GMT" }, { "version": "v2", "created": "Tue, 8 May 2007 08:33:09 GMT" }, { "version": "v3", "created": "Sat, 12 May 2007 04:14:59 GMT" } ]
2011-11-09T00:00:00
[ [ "Akhanjee", "Shimul", "" ] ]
0704.2089
Roman Shvydkoy
A. Cheskidov, S. Friedlander, R. Shvydkoy
On the energy equality for weak solutions of the 3D Navier-Stokes equations
7 pages
null
null
null
math.AP math-ph math.MP
null
We prove that the energy equality holds for weak solutions of the 3D Navier-Stokes equations in the functional class $L^3([0,T);V^{5/6})$, where $V^{5/6}$ is the domain of the fractional power of the Stokes operator $A^{5/12}$.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 02:20:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Cheskidov", "A.", "" ], [ "Friedlander", "S.", "" ], [ "Shvydkoy", "R.", "" ] ]
0704.2090
Roman Shvydkoy
R. Shvydkoy
Cocycles and Ma\~{n}e sequences with an application to ideal fluids
14 pages
Journal of Differential Equations, 229/1 (2006), 49--62
null
null
math.DS math.AP
null
Exponential dichotomy of a strongly continuous cocycle $\bFi$ is proved to be equivalent to existence of a Ma\~{n}e sequence either for $\bFi$ or for its adjoint. As a consequence we extend some of the classical results to general Banach bundles. The dynamical spectrum of a product of two cocycles, one of which is scalar, is investigated and applied to describe the essential spectrum of the Euler equation in an arbitrary spacial dimension.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 02:30:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Shvydkoy", "R.", "" ] ]
0704.2091
Ping Dong
Ping Dong, Ming Yang and Zhuo-Liang Cao
Discrete quantum Fourier transform in coupled semiconductor double quantum dot molecules
3 pages,2 figures
Physics Letters A 373 (2008) 30-32
10.1016/j.physleta.2008.11.005
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this Letter, we present a physical scheme for implementing the discrete quantum Fourier transform in a coupled semiconductor double quantum dot system. The main controlled-R gate operation can be decomposed into many simple and feasible unitary transformations. The current scheme would be a useful step towards the realization of complex quantum algorithms in the quantum dot system.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 02:59:24 GMT" }, { "version": "v2", "created": "Fri, 28 Nov 2008 08:00:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Dong", "Ping", "" ], [ "Yang", "Ming", "" ], [ "Cao", "Zhuo-Liang", "" ] ]
0704.2092
Jinsong Tan
Jinsong Tan
A Note on the Inapproximability of Correlation Clustering
null
Information Processing Letters, 108: 331-335, 2008
null
null
cs.LG cs.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider inapproximability of the correlation clustering problem defined as follows: Given a graph $G = (V,E)$ where each edge is labeled either "+" (similar) or "-" (dissimilar), correlation clustering seeks to partition the vertices into clusters so that the number of pairs correctly (resp. incorrectly) classified with respect to the labels is maximized (resp. minimized). The two complementary problems are called MaxAgree and MinDisagree, respectively, and have been studied on complete graphs, where every edge is labeled, and general graphs, where some edge might not have been labeled. Natural edge-weighted versions of both problems have been studied as well. Let S-MaxAgree denote the weighted problem where all weights are taken from set S, we show that S-MaxAgree with weights bounded by $O(|V|^{1/2-\delta})$ essentially belongs to the same hardness class in the following sense: if there is a polynomial time algorithm that approximates S-MaxAgree within a factor of $\lambda = O(\log{|V|})$ with high probability, then for any choice of S', S'-MaxAgree can be approximated in polynomial time within a factor of $(\lambda + \epsilon)$, where $\epsilon > 0$ can be arbitrarily small, with high probability. A similar statement also holds for $S-MinDisagree. This result implies it is hard (assuming $NP \neq RP$) to approximate unweighted MaxAgree within a factor of $80/79-\epsilon$, improving upon a previous known factor of $116/115-\epsilon$ by Charikar et. al. \cite{Chari05}.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 03:52:41 GMT" }, { "version": "v2", "created": "Mon, 23 Mar 2009 03:22:02 GMT" } ]
2009-03-23T00:00:00
[ [ "Tan", "Jinsong", "" ] ]
0704.2093
Hiroyuki Nishiura
Masaru Doi, Tsuneyuki Kotani, Hiroyuki Nishiura
New Parameterization in Muon Decay and the Type of Emitted Neutrino. II
21 pages
Prog.Theor.Phys.118:1069-1086, 2007; Erratum-ibid.122:805-805,2009
10.1143/PTP.118.1069 10.1143/PTP.122.805
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a previous paper, new sets of parameters to replace the Michel parameters were proposed to analyze data for the muon decay $\mu^{+} \to e^{+}\nu_{e}\bar{\nu_{\mu}}$. Both $(V-A)$ and $(V+A)$ charged currents with finite neutrino mass have been used to study this decay. In the present paper, this parameterization is extended to a more general form, and a method for data analysis (least squares) is discussed for the propose of determining the rate of contribution from the $(V+A)$ current. We find that there is a simple form in which the set of parameters is related primitively to the physical quantities. It is shown that the Michel parameters are one of the other sets that are obtained from this simple form by rearranging one term. We derive the condition to obtain the same information regarding unknown physical quantities in the case that the data are analyzed using these simple and rearranged forms separately. We find that there is some possibility to get different results from these analyses, because the equivalent condition is very delicate and the QED radiative corrections should be treated carefully. We propose a consistent formula for data analysis. It is useful to compare the value obtained in the least squares fit using the simple form with that obtained using the prediction of the standard model, because a large difference is not expected, especially in the case of the Majorana neutrino. Finally, we point out that the method we proposed to determine the type of neutrino in the previous paper is incorrect.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 03:18:20 GMT" }, { "version": "v2", "created": "Sun, 18 Nov 2007 01:45:36 GMT" }, { "version": "v3", "created": "Sun, 9 Dec 2007 09:14:55 GMT" }, { "version": "v4", "created": "Fri, 2 Oct 2009 00:49:57 GMT" } ]
2010-01-07T00:00:00
[ [ "Doi", "Masaru", "" ], [ "Kotani", "Tsuneyuki", "" ], [ "Nishiura", "Hiroyuki", "" ] ]
0704.2094
Haipeng Liu
Ming-Jun Lai, and Haipeng Liu
Prewavelet Solution to Poisson Equations
null
null
null
null
math.NA
null
Finite element method is one of powerful numerical methods to solve PDE. Usually, if a finite element solution to a Poisson equation based on a triangulation of the underlying domain is not accurate enough, one will discard the solution and then refine the triangulation uniformly and compute a new finite element solution over the refined triangulation. It is wasteful to discard the original finite element solution. We propose a prewavelet method to save the original solution by adding a prewavelet subsolution to obtain the refined level finite element solution. To increase the accuracy of numerical solution to Poisson equations, we can keep adding prewavelet subsolutions. Our prewavelets are orthogonal in the $H^1$ norm and they are compactly supported except for one globally supported basis function in a rectangular domain. We have implemented these prewavelet basis functions in MATLAB and used them for numerical solution of Poisson equation with Dirichlet boundary conditions. Numerical simulation demonstrates that our prewavelet solution is much more efficient than the standard finite element method.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 03:26:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Lai", "Ming-Jun", "" ], [ "Liu", "Haipeng", "" ] ]
0704.2095
I-chin Wang
I-Chin Wang and Kin-Wang Ng
Effects of a pre-inflation radiation-dominated epoch to CMB anisotropy
paper revised,a new figure is added and new references added
Phys.Rev.D77:083501,2008
10.1103/PhysRevD.77.083501
null
astro-ph
null
We consider that the pre-inflation era is radiation-dominated, transiting smoothly to the inflationary era. We work out in detail the dynamics of inflaton fluctuations across the phase transition and the proper choices of initial vacuum states. It is found that this phase transition can suppress long-wavelength quantum fluctuations of inflaton. This may attribute to the large-scale CMB anisotropy a lower power than predicted in the standard $\Lambda$CDM model. In constraining this transitional effect by WMAP anisotropy data, we use the WMAP best-fit scale-invariant $\Lambda$CDM model with the density power spectrum replaced by the one found in this work. We find that the transition occurs at least about 10 e-folds before the comoving scales comparable to our present horizon size cross the Hubble radius during inflation.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 04:00:28 GMT" }, { "version": "v2", "created": "Tue, 16 Oct 2007 16:54:20 GMT" }, { "version": "v3", "created": "Wed, 20 Feb 2008 07:20:39 GMT" } ]
2008-12-18T00:00:00
[ [ "Wang", "I-Chin", "" ], [ "Ng", "Kin-Wang", "" ] ]
0704.2096
Steven Longmore N
S. N. Longmore (1 and 2), M. G. Burton (1), P. J. Barnes (3 and 1), T. Wong (1 and 2 and 5), C. R. Purcell (1 and 4), J. Ott (2 and 6) ((1) UNSW, (2) ATNF, (3) Uni. of Sydney, (4) Jodrell Bank Observatory, (5) Uni. of Illinois, (6) NRAO)
Multi-wavelength observations of Southern Hot Molecular Cores traced by methanol masers - I. Ammonia and 24 GHz Continuum Data
25 pages, 14 figures, accepted MNRAS. Shortened versions of Figures 13 and 14
Mon.Not.Roy.Astron.Soc.379:535-572,2007
10.1111/j.1365-2966.2007.11850.x
null
astro-ph
null
We present observations of the (1,1), (2,2), (4,4) and (5,5) inversion transitions of para-ammonia (NH3) and 24 GHz continuum, taken with the Australia Telescope Compact Array toward 21 southern Galactic hot molecular cores traced by 6.7 GHz methanol maser emission. We detect NH3(1,1) emission toward all 21 regions and 24 GHz continuum emission toward 12 of the regions, including 6 with no reported 8 GHz continuum counterparts. In total, we find the 21 regions contain 41 NH3(1,1) cores. We extract characteristic spectra for every core at each of the NH3 transitions and present both integrated intensity maps and channel maps for each region. The NH3(4,4)+(5,5) emission is always unresolved and found at the maser position indicating that the methanol masers are found at the warmest part of the core. We observe large asymmetries in the NH3(1,1) hyperfine line profiles and conclude this is due to a number of dense, small clumps within the beam. We derive properties of the ionised gas and find the 24 GHz continuum sources not detected at 8 GHz are always coincident with both NH3 and methanol masers in contrast to those detected at 8 + 24 GHz which are generally offset from the methanol masers. We investigate the possibility that the former may be hyper-compact HII regions. Finally, we separate the cores into five groups, based on their association with NH3, methanol maser and continuum emission. From the different physical properties of the cores in the groups, we discuss the possibility that these groups may represent cores at different evolutionary stages of the massive star formation process.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 04:12:01 GMT" } ]
2008-12-18T00:00:00
[ [ "Longmore", "S. N.", "", "1 and 2" ], [ "Burton", "M. G.", "", "3 and 1" ], [ "Barnes", "P. J.", "", "3 and 1" ], [ "Wong", "T.", "", "1 and 2 and 5" ], [ "Purcell", "C. R.", "", "1 and 4" ], [ "Ott", "J.", "", "2 and 6" ] ]
0704.2097
Stuart Wilson
S.D.Wilson, A.R.R.Carvalho, J.J.Hope and M.R.James
Effects of Measurement back-action in the stabilization of a Bose-Einstein condensate through feedback
1 Tex, 4 PS pictures, 1 bbl file
null
10.1103/PhysRevA.76.013610
null
quant-ph
null
We apply quantum filtering and control to a particle in a harmonic trap under continuous position measurement, and show that a simple static feedback law can be used to cool the system. The final steady state is Gaussian and dependent on the feedback strength and coupling between the system and probe. In the limit of weak coupling this final state becomes the ground state. An earlier model by Haine et. al. (PRA 69, 2004) without measurement back-action showed dark states: states that did not display error signals, thus remaining unaffected by the control. This paper shows that for a realistic measurement process this is not true, which indicates that a Bose-Einstein condensate may be driven towards the ground state from any arbitrary initial state.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 05:08:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Wilson", "S. D.", "" ], [ "Carvalho", "A. R. R.", "" ], [ "Hope", "J. J.", "" ], [ "James", "M. R.", "" ] ]
0704.2098
Robert Parviainen
Robert Parviainen
Estimation of Bond Percolation Thresholds on the Archimedean Lattices
2 figures. Updated Table 1
J. Phys. A: Math. Theor. 40 (31), 9253-9258, 2007
10.1088/1751-8113/40/31/005
null
cond-mat.stat-mech
null
We give accurate estimates for the bond percolation critical probabilities on seven Archimedean lattices, for which the critical probabilities are unknown, using an algorithm of Newman and Ziff.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 05:40:57 GMT" }, { "version": "v2", "created": "Thu, 19 Apr 2007 00:10:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Parviainen", "Robert", "" ] ]
0704.2099
Muhammad Sharif
M. Sharif and M. Jamil Amir
Teleparallel Energy-Momentum Distribution of Static Axially Symmetric Spacetimes
14 pages, accepted for publication in Mod. Phys. Lett. A
Mod.Phys.Lett.A23:3167-3177,2008
10.1142/S0217732308027035
null
gr-qc
null
This paper is devoted to discuss the energy-momentum for static axially symmetric spacetimes in the framework of teleparallel theory of gravity. For this purpose, we use the teleparallel versions of Einstein, Landau-Lifshitz, Bergmann and M$\ddot{o}$ller prescriptions. A comparison of the results shows that the energy density is different but the momentum turns out to be constant in each prescription. This is exactly similar to the results available in literature using the framework of General Relativity. It is mentioned here that M$\ddot{o}$ller energy-momentum distribution is independent of the coupling constant $\lambda$. Finally, we calculate energy-momentum distribution for the Curzon metric, a special case of the above mentioned spacetime.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 05:43:49 GMT" } ]
2009-02-10T00:00:00
[ [ "Sharif", "M.", "" ], [ "Amir", "M. Jamil", "" ] ]
0704.2100
Alessandro Capetti
Alessandro Capetti (1) Barbara Balmaverde (1) ((1)INAF - Osservatorio Astronomico di Torino, Italy)
The host galaxy/AGN connection. Brightness profiles of early-type galaxies hosting Seyfert nuclei
Accepted for publication in A&A
null
10.1051/0004-6361:20066684
null
astro-ph
null
[ABRIDGED] We recently presented evidence of a connection between the brightness profiles of nearby early-type galaxies and the properties of the AGN they host. The radio loudness of the AGN appears to be univocally related to the host's brightness profile: radio-loud nuclei are only hosted by ``core'' galaxies while radio-quiet AGN are only found in ``power-law'' galaxies. We extend our analysis here to a sample of 42 nearby (V < 7000 km/s) Seyfert galaxies hosted by early-type galaxies. We used the available HST images to study their brightness profiles. Having excluded complex and highly nucleated galaxies, in the remaining 16 objects the brightness profiles can be successfully modeled with a Nuker law with a steep nuclear cusp characteristic of ``power-law'' galaxies (with logarithmic slope 0.51 - 1.07). This result is what is expected for these radio-quiet AGN based on our previous findings, thus extending the validity of the connection between brightness profile and radio loudness to AGN of a far higher luminosity. We explored the robustness of this result against a different choice of the analytic form for the brightness profiles, using a Sersic law. In no object could we find evidence of a central light deficit with respect to a pure Sersic model, the defining feature of ``core'' galaxies in this modeling framework. We conclude that, regardless of the modeling strategy, the dichotomy of AGN radio loudness can be univocally related to the host's brightness profile. Our general results can be re-phrased as ``radio-loud nuclei are hosted by core galaxies, while radio-quiet AGN are found in non-core galaxies''.
[ { "version": "v1", "created": "Tue, 17 Apr 2007 06:01:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Capetti", "Alessandro", "" ], [ "Balmaverde", "Barbara", "" ] ]