exploring chiral phase transitions in and out of equilibrium with probe branes(ppt)(20101019160456514[1])

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1、ExploringChiralPhaseTransitionsInandOutofEquilibriumwithProbeBranesNickEvansUniversityofSouthamptonKeun-YoungKimKristanJensenMariaMagou(Seattle)AstridGebauerJamesFrenchIngoKirsch,TigranKalaydzhyan(DESY)BeijingOctober2010IntroductionProbebranedualsof3+1d(

2、&2+1d)gaugetheoriesChiralsymmetrybreakingdynamicsT&mphasediagrams–chiral+mesonmeltingtransitionsFirstordertransitionsSecondordertransitionsBKTtransitionsMotive:Non-meanfieldsecondordertransitionsQCD(CM)OrthonormalwavefunctionsAddConfinementandChiralSymme

3、tryBreakingDilatonFlowGeometry:Gubser,SfetsosHere,thisisjustasimple,backreacted,repulsive,hardwall….BEEGK,Ghoroku..MagneticFieldInducedChiralSymmetryBreakingJohnson,Filev,Kundu….B“just”breaksconformalsymmetry…FiniteT-AdS-SchwarzschildAsymptoticallyAdS,SO

4、(6)invariantatallscales…horizonswallowsinformationatrH….Witteninterpretedasfinitetemperature…blackhole…hasQuarksarerightscreenedbythermodynamicplasmaproperties…FirstOrderChiralSymmetryRestoration–B+TQuasi-normalmodes&mesonmeltingBEEGK…Sonnenschein…Hoyos…

5、.Myers,Mateos…LinearizedfluctuationsinegthescalarsontheD7branemustnowentertheblackholehorizon…Quasi-normalmodesarethosemodesthatnearthehorizonhaveonlyin-fallingpieces…Themassoftheboundstatesbecomecomplex–theydecayintothethermalbath…ChemicalPotentialAtfin

6、itedensitytheFermi-seaofquarksfillsuptoanenergycalledthechemicalpotentialWecanthinkofmasabackgroundvevforthetemporalcomponentofthephoton…Myers,Mateosinducesquarkstofillthevacuum….ieaspikeofstringsgrowsbetweentheD7andtheD3…SecondOrderChiralSymmetryRestor

7、ation–B+mPhaseDiagramforBFieldTheory,m=0JHEP1003:132,2010.e-Print:arXiv:1002.1885[hep-th]QCDscenariosforcomparison…WilczekvsPhilipsen(Lattice)APhenomenologicalOperatorT=0transitionchanges…Exponentialscalingoforderparameterawayfromthetransition…Firstident

8、ifiedinD3/D5systemwheredandBhavesamedimension…AdS/CMlinkInstabilityofflatembeddingSmallrholimitsolutions:Oanddenteronsamefootingbecausesamedimension(nottrueinBcase!)….ForfixeddraisingOtriggerscomplexD-aninstabilitythatcorr