quantum field theory (mark srednicki(ucsb))

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1、QuantumFieldTheoryMarkSrednickiUniversityofCalifornia,SantaBarbaramark@physics.ucsb.educ2006byM.SrednickiAllrightsreserved.PleaseDONOTDISTRIBUTEthisdocument.Instead,linktohttp://www.physics.ucsb.edu/∼mark/qft.html1TomyparentsCasimirandHelenSrednickiwithgratitudeContentsPrefaceforStu

2、dents8PrefaceforInstructors12Acknowledgments16ISpinZero181Attemptsatrelativisticquantummechanics192LorentzInvariance(prerequisite:1)303CanonicalQuantizationofScalarFields(2)364TheSpin-StatisticsTheorem(3)455TheLSZReductionFormula(3)496PathIntegralsinQuantumMechanics577ThePathIntegra

3、lfortheHarmonicOscillator(6)638ThePathIntegralforFreeFieldTheory(3,7)679ThePathIntegralforInteractingFieldTheory(8)7110ScatteringAmplitudesandtheFeynmanRules(5,9)8711CrossSectionsandDecayRates(10)9312DimensionalAnalysiswith¯h=c=1(3)10413TheLehmann-K¨all´enFormoftheExactPropagator(9)

4、10614LoopCorrectionstothePropagator(10,12,13)10915TheOne-LoopCorrectioninLehmann-K¨all´enForm(14)12016LoopCorrectionstotheVertex(14)12417Other1PIVertices(16)12718Higher-OrderCorrectionsandRenormalizability(17)129419PerturbationTheorytoAllOrders(18)13320Two-ParticleElasticScatteringa

5、tOneLoop(19)13521TheQuantumAction(19)13922ContinuousSymmetriesandConservedCurrents(8)14423DiscreteSymmetries:P,T,C,andZ(22)15224NonabelianSymmetries(22)15725UnstableParticlesandResonances(14)16126InfraredDivergences(20)16727OtherRenormalizationSchemes(26)17228TheRenormalizationGroup

6、(27)17829EffectiveFieldTheory(28)18530SpontaneousSymmetryBreaking(21)19631BrokenSymmetryandLoopCorrections(30)20032SpontaneousBreakingofContinuousSymmetries(22,30)205IISpinOneHalf21033RepresentationsoftheLorentzGroup(2)21134Left-andRight-HandedSpinorFields(3,33)21535ManipulatingSpino

7、rIndices(34)22236LagrangiansforSpinorFields(22,35)22637CanonicalQuantizationofSpinorFieldsI(36)23638SpinorTechnology(37)24039CanonicalQuantizationofSpinorFieldsII(38)24640Parity,TimeReversal,andChargeConjugation(23,39)254541LSZReductionforSpin-One-HalfParticles(5,39)26342TheFreeFerm

8、ionPropagator(39)26