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凝聚态物理学中的量子场论(第2版)
Thisbookisacourseinmodernquantumfieldtheoryasseenthroughtheeyesofatheoristworkingincondensedmatterphysics.Itcontainsagentleintroductiontothesubjectandcanthereforebeusedevenbygraduatestudents.Theintroductorypartsincludeaderiva-tionofthepathintegralrepresentation,FeynmandiagramsandelementsofthetheoryofmetalsincludingadiscussionofLandauFermiliquidtheory.Inlaterchaptersthediscus-siongraduallyturnstomoreadvancedmethodsusedinthetheoryofstronglycorrelatedsystems.Thebookcontainsathoroughexpositionofsuchnonperturbativetechniquesas1/N-expansion,bosonization(Abelianandnon-Abelian),conformalfieldtheoryandtheoryofintegrablesystems.Thebookisintendedforgraduatestudents,postdoctoralassociatesandindependentresearchersworkingincondensedmatterphysics.
PrefacetothefirsteditionPrefacetothesecondeditionAcknowledgementsforthefirsteditionAcknowledgementsforthesecondeditionⅠIntroductiontomethods1QFT:languageandgoals2Connectionbetweenquantumandclassical:pathintegrals3Definitionsofcorrelationfunctions:Wickstheorem4Freebosonicfieldinanexternalfield5Perturbationtheory:Feynmandiagrams6Calculationmethodsfordiagramseries:divergencesandtheirelimination7Renormalizationgroupprocedures8O(N)-symmetricvectormodelbelowthetransitionpoint9Nonlinearsigmamodelsintwodimensions:renormalizationgroupand1/N-expansion100(3)nonlinearsigmamodelinthestrongcouplinglimitⅡFermions11PathintegralandWickstheoremforfermions12Interactingelectrons:theFermiliquid13Electrodynamicsinmetals14Relativisticfermions:aspectsofquantumelectrodynamics(1+1)-Dimensionalquantumelectrodynamics(Schwingermodel)15Aharonov-BohmeffectandtransmutationofstatisticsTheindextheoremQuantumHallferromagnetⅢStronglyfluctuagngspinsystemsIntroduction16Schwinger-Wignerquantizationprocedure:nonlinearsigmamodelsContinuousfieldtheoryforaferromagnetContinuousfieldtheoryforanantiferromagnet17O(3)nonlinearsigmamodelin(2+1)dimensions:thephasediagramTopologicalexcitations:skyrmions18Orderfromdisorder19Jordan-WignertransformationforspinS=1/2modelsinD=1,2,320MajoranarepresentationforspinS=1/2magnets:relationshiptoZ2latticegaugetheories21PathintegralrepresentationsforadopedantiferromagnetNPhysicsintheworldofonespatialdimensionIntroduction22Modelofthefreebosonicmasslessscalarfield23Relevantandirrelevantfields24Kosterlitz-Thoulesstransition25ConformalsymmetryGaussianmodelintheHamiltonianformulation26VirasoroalgebraWardidentitiesSubalgebrasl(2)27DifferentialequationsforthecorrelationfunctionsCoulombgasconstructionfortheminimalmodels28IsingmodelIsingmodelasaminimalmodelQuantumlsingmodelOrderanddisorderoperatorsCorrelationfunctionsoutsidethecriticalpointDeformationsoftheIsingmodel29One-dimensionalspinlessfermions:Tomonaga-LuttingerliquidSingle-electroncorrelatorinthepresenceofCoulombinteractionSpinS=1/2HeisenbergchainExplicitexpressionforthedynamicalmagneticsusceptibility30One-dimensionalfermionswithspin:spin-chargeseparationBosonicformoftheSU1(2)Kac-MoodyalgebraSpinS=1/2Tomonaga-LuttingerliquidIncommensuratechargedensitywaveHalf-filledband31Kac-Moodyalgebras:Wess-Zumino——Novikov-WittenmodelKnizhnik-Zamolodchikov(KZ)equationsConformalembeddingSUI(2)WZNWmodelandspinS=1/2HeisenbergantiferromagnetSU2(2)WZNWmodelandtheIsingmodel32Wess-Zumino-Novikov-WittenmodelintheLagrangianform:non-Abelianbosonization33SemiclassicalapproachtoWess-Zumino-Novikov-Wittenmodels34Integrablemodels:dynamicalmassgenerationGeneralpropertiesofintegrablemodelsCorrelationfunctions:thesine-GordonmodelPerturbationsofspinS=1/2Heisenbergchain:confinement35AcomparativestudyofdynamicalmassgenerationinoneandthreedimensionsSingle-electronGreensfunctioninaone-dimensionalchargedensitywavestate36One-dimensionalspinliquids:spinladderandspinS=1HeisenbergchainSpinladderCorrelationfunctionsSpinS=1antiferromagnets37Kondochain38Gaugefixinginnon-Abeliantheories:(1+1)-dimensionalquantumchromodynamicsSelectbibliographyIndex
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