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[波兰] 波考斯基 著 / 世界图书出版公司 / 2008-05 / 平装
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规范场理论:Gauge Field Theory
ThisbookhasitsorigininalongseriesoflecturesgivenattheInstituteforTheoreticalPhysics,WarsawUniversity.Itisaddressedtograduatestudentsandtoyoungresearchworkersintheoreticalphysicswhohavesomeknowledgeofquantumfieldtheoryinitscanonicalformulation,forinstanceattheleveloftwovolumesbyBjorken&Drell(1964,1965).Thebookisintendedtobearelativelyconcisereferencetosomeofthefieldtheoreticaltoolsusedincontemporaryresearchinthetheoryoffundamentalinteractions.Itisatechnicalbookandnoteasyreading.Physicalproblemsarediscussedonlyasillustrationsofcertaintheoreticalideasandofcomputationalmethods.Noattempthasbeenmadetoreviewsystematicallythepresentstatusofthetheoryoffundamentalinteractions.
PrefacetotheFirstEdition0Introduction0.1Gaugeinvariance0.2ReasonsforgaugetheoriesofstrongandelectroweakinteractionsQCDElectroweaktheory1Classicalfields,symmetriesandtheirbreaking1.1Theaction,equationsofmotion,symmetriesandconservationlawsEquationsofmotionGlobalsymmetriesSpace-timetransformationsExamples1.2ClassicalfieldequationsScalarfieldtheoryandspontaneousbreakingofglobalsymmetriesSpinorfields1.3GaugefieldtheoriesU(1)gaugesymmetryNon-abeliangaugesymmetry1.4FromClassicaltoquantumfields(canonicalquantization)ScalarfieldsTheFeynmanpropagatorSpinorfieldsSymmetrytransformationsforquantumields1.5DiscretesymmetriesSpacereflectionTimereversalChargeconjugationSummaryandtheCPTtransformationsCPviolationintheneutralK0-K0-systemProblems2Pathintegralformulationofquantumfieldtheory2.1PathintegralsinquantummechanicsTransitionmatrixelementsaspathintegralsMatrixelementsofpositionoperators2.2Vacuum-to-vacuumtransitionsandtheimaginarytimeformalismGeneraldiscussionHarmonicoscillatorEuclideanGreensfunctions2.3PathintegralformulationofquantumfieldtheoryGreensfunctionsaspathintegralsActionquadraticinfieldsGaussianintegration2.4IntroductiontoperturbationtheoryPerturbationtheoryandthegeneratingfunctionalWickstheoremAnexample:four-pointGreensfunctioninλφ4Momentumspace2.5Pathintegralsforfermions;GrassmannalgebraAnticommutingc-numbersDiracpropagator2.6GeneratingfunctionalsforGreensfunctionsandpropervertices;effectivepotentialClassificationofGreensfunctionsandgeneratingfunctionalsEffectiveactionSpontaneoussymmetrybreakingandeffectiveactionEffectivepotential2.7GreensfunctionsandthescatteringoperatorProblems3FeynmanrulesforYang-Millstheories3.1TheFaddeev-PopovdeterminantGaugeinvarianceandthepathintegralFaddeev-PopovdeterminantExamplesNon-covariantgauges3.2FeynmanrulesforQCDCalculationoftheFaddeev-PopovdeterminantFeynmanrules3.3Unitarity,ghosts,Becchi-Rouet-StoratransformationUnitarityandghostsBRSandanti-BRSsymmetryProblems4Introductiontothetheoryofrenormalization4.1PhysicalsenseofrenormalizationanditsarbitrarinessBareandphysicalquantitiesCountertermsandtherenormalizationconditions5Quantumelectrodynamics6Renormalizationgroup7Scaleinvarianceandoperatorproductexpansion8Quantumchromodynamics9Chiralsymmetry;spontaneoussymmetrybreading10Spontaneousandexplicitglobalsymmetrybreaking11Brout-Englert-Higgsmechanismingaugetheories12Standardelectroweaktheory13Chiralanomalies14Effectivelagrangians15IntroductiontosupersymmetryAppendixA:SpinorsandtheirpropertiesAppendixB:FeynmanrulesforQEDandQCDandFeynmanintegralsAppendixC:FeynmanrulesfortheStandardModelAppendixD:One-loopFeynmanintegralsAppendixE:ElementsofgrouptheoryReferencesIndex
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