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0705.0442.txt |@word consider:2 rev:1 results:1 four:3 mp2:1 mp3:1 expressions:1 research:1 particles:2 bremsstrahlung:12 depend:2 calculate:1 eˆ:1 tr:1 p2:3 amplitudes:1 orthogonal:1 very:1 electron:22 emphasized:1 illustrated:1 large:5 kondo:1 vector:5 small:2 work:1 unpolarized:8 eλi:1 appear:1 section:7 expressed:2 access:1 khoze:1 sur:1 above:1 designing:1 3c:1 3b:2 3a:2 coefficient:1 outgoing:1 degree:6 component:3 here:1 represented:1 consideration:1 along:1 quite:1 obtained:1 delimited:1 institute:1 vectors:6 scatter:1 rekalo:1 stressed:1 projection:1 analyzing:2 linearly:2 use:2 positive:1 contains:1 france:1 nucl:4 kinematics:5 m2:8 taken:2 diagrams:1 more:1 introducing:2 comparison:1 eν:1 bartos:1 known:2 hold:1 iii:2 eγ:4 averaged:1 values:5 mp:2 following:2 example:2 f1:2 f2:1 give:1 process:7 high:5 numbers:2 information:2 lepton:2 instrum:1 parameter:4 sin:6 circular:6 rept:1 may:4 photoproduction:1 after:2 derived:1 produce:1 4mp2:2 2x2:3 light:2 explicit:1 correspond:1 element:3 negligible:1 allow:1 increase:1 order:3 typical:2 baier:1 help:1 developed:1 over:2 paper:2 including:1 its:3 longitudinal:3 ln:1 2e1:1 termes:1 production:1 fig:6 relate:1 gustafsson:1 cea:1 introduce:1 fadin:1 effects:1 yu:2 nor:1 sitnik:1 february:1 2p:2 2x:4 2d:1 sufficiently:3 magnitude:1 2a:1 2b:1 2c:1 characterized:2 heavy:1 reactions:1 differential:1 ee:2 energy:21 related:3 yvette:1 measure:2 quantum:2 laboratory:3 meth:1 eq:5 ep:2 really:1 pˆ1:1 shown:1 matrix:4 factors:1 induces:1 denotes:1 looking:1 collisions:2 ref:1 linear:3 possibility:1 standard:1 term:1 estimate:1 dubna:1 e2:1 definition:1 pairs:1 βq:1 could:2 plane:2 corrections:1 βi:1 omitted:1 variables:6 oµν:1 merenkov:1 xq:8 given:3 introduction:1 eqs:2 system:1 relations:2 peripheral:6 shell:1 way:3 acquire:2 transverse:1 part:1 x2:6 x3:5 x1:5 polarimetry:1 coefficients:1 wide:1 polarized:8 target:9 showed:1 was:1 transferred:2 final:4 determined:1 powers:1 russia:1 electrodynamics:1 berestetskii:1 summing:1 any:2 dapnia:1 tomasi:1 angle:3 convenient:2 polarization:25 square:1 so:1 accuracy:1 reach:1 polarimeters:2 formulae:1 phase:1 dθe:1 ke:1 calculated:8 neutral:1 feynman:1 electrons:3 left:1 quantity:1 akhiezer:1 scattered:3 subprocess:1 gauge:1 d4:1 d2:4 d3:3 d1:2 current:1 q2:3 based:1 parameters:6 written:4 should:3 only:2 exchanged:2 do:2 2mp:1 gev:8 beams:2 de:1 joint:1 dx:1 2me:1 dr:1 dp:1 processes:3 transversal:1 arxiv:1 contain:1 2p1:2 reference:1 frame:3 see:4 p21:1 αq:1 detect:1 pm2:1 nuclear:1 fano:1 f22:1 state:3 αe:1 between:1 αi:1 neither:1 conditions:2 2pp:1 triplet:1 terms:2 positron:2 emitted:1 incident:3 suggested:1 cos:7 many:1 according:1 sudakov:3 dated:1 finds:1 upgraded:1 relevant:4 proton:8 dimensional:2 directions:1 respect:1 highenergy:1 considering:1 pq:4 kinematic:3 basis:1 chirality:2 due:1 been:1 pb:1 azimuthal:3 ph:1 quantities:1 concerning:1 longitudinally:3 photon:31 θe:1 external:1 angles:4 present:1 case:4 p1:17 pacs:1 will:1 sizeable:1 characteristics:2 refs:1 surface:1 ii:4 characterize:1 ij:2 cone:1 polarimeter:1 fermion:1 different:2 circularly:1 suggest:1 cross:10 pλ1:1 regime:1 used:3 numerical:1 v0:2 invariance:1 kuraev:3 components:2 model:1 charged:1 βp1:1 being:2 obtain:1 momenta:3 scattering:9 tables:2 density:1 photons:5 parametrization:2 lett:1 momentum:8 depends:4 possible:1 helicity:1 4mp:1 like:1 particle:5 specific:1 decrease:1 therein:1 right:1 smoothly:1 creation:1 table:5 nonzero:1 2e:1 integration:1 does:1 power:1 leptons:2 qˆ:1 properties:1 stokes:8 about:2 kinematical:7 carried:4 o:1 range:2 introduced:1 sd1:2 sd2:2 facility:1 radiative:1 into:1 sphn:1 hep:1 initial:12 gif:1 conservation:1 bosons:1 2mp2:2 fraction:7 sections:3 function:5 form:4 volume:1 cedex:1 recoil:4 larger:2 applying:1 mp6:1 us:2 crystal:2 below:1 limit:3 planes:1 xp1:1 ex:1 detailed:1 constant:1 defined:5 pˆ:1 formalism:2 dγ:2 physical:1 functions:1 qδ:1 when:1 virtual:1 conclusion:1 polar:2 jlab:1 auxiliary:1 dφ:2 saclay:1 4m:1 mass:4 time:1 observables:1 |
0705.0443.txt |@word ibid:1 represent:2 katz:2 quarks:20 gs:15 consider:11 mahbubani:1 lagrangian:9 d74:1 global:3 results:2 unchanged:1 cφ:2 four:23 roy:1 scalar:11 12c:1 gb:1 grateful:1 expressions:1 research:1 contributions:4 issues:3 devoted:1 zbr:1 u3:1 tsuchiya:3 similar:5 iii:2 concerned:3 tr:6 shall:5 finally:1 γh:8 present:6 excluded:1 under:7 rept:1 include:3 worth:1 ǫab:1 dαg:2 advantage:1 far:5 akiba:1 differently:1 induce:5 agashe:2 δgb:2 αλi:3 ultraviolet:3 casas:3 rattazzi:1 mixing:32 affect:1 difference:2 exact:2 common:1 severely:2 dimen:1 immediately:1 level:4 diverging:1 evaluation:2 eigenmodes:4 mb:1 vertex:1 applicable:1 occurs:3 large:50 solved:1 vector:6 science:1 small:9 provided:1 noted:3 yt:5 upper:1 smaller:2 force:1 α2g:1 renormalized:2 ψi:1 consistent:9 ted:1 sign:1 approximation:9 zero:2 mφ:37 evaluated:4 realistic:1 further:1 dynamics:17 estimated:4 remarkably:2 tev:22 goes:2 even:5 plays:1 appear:2 incompatible:1 hidalgo:2 trivial:4 section:12 peskin:2 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0705.0482.txt |@word secondly:1 partial:2 consider:29 funct:2 global:3 results:4 integration:2 four:1 proposition:13 c2:1 qvt:1 gl:3 inverse:1 ginibre:1 concerned:1 equivalence:1 containing:1 finally:8 alvarez:14 th:1 under:3 ev1:1 ev2:1 norm:6 bv2:1 belonging:2 very:3 wave:1 corollary:6 wishes:1 nonlinearity:1 matrices:3 χd:1 obvious:1 presented:1 did:1 suffices:5 solution:7 borys:1 item:1 differential:1 indices:4 eigenvalues:6 anal:6 noted:1 velo:1 upper:5 abbreviated:1 bv1:1 organized:1 edu:1 estimates:8 measurable:1 b21:2 go:1 second:6 l2t:5 further:1 linear:5 bilinear:9 ǫs:7 3y:5 nonlinear:7 christ:1 3s:15 diag:6 section:6 analogously:1 henceforth:1 wxxx:1 version:1 above:5 new:4 satisfy:1 respectively:4 lem:1 here:7 xξ:1 groups:1 nonsingular:1 consideration:1 strong:3 equations:23 change:9 contraction:5 obtained:5 remark:27 sobolev:5 suitably:1 studied:1 suggests:1 periodic:1 hospitality:1 fourier:4 changes:1 via:1 useful:1 replace:2 unitary:1 univ:1 research:1 use:2 would:1 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0705.0484.txt |@word 2gij:1 gravities:1 l17:1 partial:1 gr:19 aliev:1 global:1 results:7 dφk:2 existing:1 four:3 rˆ:2 commute:1 gabcd:2 computation:2 go:2 perturbations:1 expressions:3 adjustment:2 cases:5 localized:1 consider:8 devoted:1 whose:2 depend:5 aug:1 equivalence:1 tr:1 acting:1 noncompact:1 simplify:1 charge:9 behave:3 dynamics:1 th:20 under:11 include:2 divergent:1 applied:2 supported:1 r12:4 g1:3 kraus:1 implicitly:1 translations:6 focus:3 witten:1 λa2:1 fall:6 hµν:7 emphasized:1 difference:1 exact:2 condition:2 adjective:1 gijkl:3 zanelli:5 hamiltonian:21 did:2 turns:2 notes:1 solution:8 large:3 convenience:1 vector:9 conformally:1 science:1 indices:2 gauge:6 lapse:2 programme:1 jhep:5 revolution:1 smarr:1 grateful:1 insists:1 consistent:1 direct:1 approximation:1 second:1 htt:5 htr:5 further:1 rab:1 odd:10 canonical:7 even:12 will:15 what:3 developed:2 stands:1 dei:1 giving:2 section:6 bc:3 expressed:1 rome:1 current:1 consistently:1 annals:1 δq0:1 issues:1 above:3 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