Condensed matter and AdS CFT

Condensed matter and AdS CFT

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時間:2019-07-18

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1、CondensedmatterandAdS/CFTSubirSachdevLecturesatthe5thAegeansummerschool,“Fromgravitytothermalgaugethe-ories:theAdS/CFTcorrespondence”,Adamas,MilosIsland,Greece,September21-26,2009,andtheDeSitterLectureSeriesinTheoreticalPhysics2009,UniversityofGroningen,

2、November16-20,2009.AbstractIreviewtwoclassesofstrongcouplingproblemsincondensedmatterphysics,anddescribeinsightsgainedbyapplicationoftheAdS/CFTcorrespon-dence.The?rstclassconcernsnon-zerotemperaturedynamicsandtransportinthevicinityofquantumcriticalpoints

3、describedbyrelativistic?eldtheories.Ide-scribehowrelativisticstructuresariseinmodelsofphysicalinterest,presentre-sultsfortheirquantumcriticalcrossoverfunctionsandmagneto-thermoelectrichy-drodynamics.Thesecondclassconcernssymmetrybreakingtransitionsoftwo-

4、dimensionalsystemsinthepresenceofgaplesselectronicexcitationsatisolatedpointsoralonglines(i.e.Fermisurfaces)intheBrillouinzone.Idescribethescal-ingstructureofarecenttheoryoftheIsing-nematictransitioninmetals,anddiscussitspossibleconnectiontotheoriesofFer

5、misurfacesobtainedfromsimpleAdSdu-arXiv:1002.2947v1[hep-th]16Feb2010als.SubirSachdevDepartmentofPhysics,HarvardUniversity,CambridgeMA02138,e-mail:sachdev@physics.harvard.edu12SubirSachdev1IntroductionThepastcoupleofdecadeshaveseenvigoroustheoreticalactiv

6、ityonthequantumphasesandphasetransitionsofcorrelatedelectronsystemsintwospatialdimen-sions.Muchofthisworkhasbeenmotivatedbythecupratesuperconductors,butthelistofinterestingmaterialscontinuestoincreaseunabated[1].Methodsfrom?eldtheoryhavehadastrongimpacto

7、nmuchofthiswork.In-deed,theyhavebecomepartofthestandardtoolkitofcondensedmatterphysicists.Intheselectures,Ifocusontwoclassesofstrong-couplingproblemswhichhavenotyieldedaccuratesolutionsviatheusualarsenalof?eld-theoreticmethods.IwillalsodiscusshowtheAdS/C

8、FTcorrespondence,discoveredbystringtheorists,hasalreadyallowedsubstantialprogressonsomeoftheseproblems,andoffersencour-agingprospectsforfutureprogress.The?rstclassofstrong-couplingproblemsareassociatedwiththereal-time,?-ni

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