Quantum Field Theory -- Spin Zero

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1、QuantumFieldTheoryPartI:SpinZeroMarkSrednickiDepartmentofPhysicsUniversityofCaliforniaSantaBarbara,CA93106mark@physics.ucsb.eduThisisadraftversionofPartIofathree-partintroductorytextbookonquantumfieldtheory.arXiv:hep-th/0409035v12Sep20041PartI:SpinZero0)Preface1)Attemp

2、tsatRelativisticQuantumMechanics(prerequisite:none)2)LorentzInvariance(prerequisite:1)3)RelativisticQuantumFieldsandCanonicalQuantization(2)4)TheSpin-StatisticsTheorem(3)5)TheLSZReductionFormula(3)6)PathIntegralsinQuantumMechanics(none)7)ThePathIntegralfortheHarmonicO

3、scillator(6)8)ThePathIntegralforFreeFieldTheory(3,7)9)ThePathIntegralforInteractingFieldTheory(8)10)ScatteringAmplitudesandtheFeynmanRules(5,9)11)CrossSectionsandDecayRates(10)12)TheLehmann-K¨all´enFormoftheExactPropagator(9)13)DimensionalAnalysiswith¯h=c=1(3)14)LoopC

4、orrectionstothePropagator(10,12,13)15)TheOne-LoopCorrectioninLehmann-K¨all´enForm(14)16)LoopCorrectionstotheVertex(14)17)Other1PIVertices(16)18)Higher-OrderCorrectionsandRenormalizability(17)19)PerturbationTheorytoAllOrders:theSkeletonExpansion(18)20)Two-ParticleElast

5、icScatteringatOneLoop(10,19)21)TheQuantumAction(19)22)ContinuousSymmetriesandConservedCurrents(8)23)DiscreteSymmetries:P,C,T,andZ(22)24)UnstableParticlesandResonances(10,14)25)InfraredDivergences(20)26)OtherRenormalizationSchemes(25)27)FormalDevelopmentoftheRenormaliz

6、ationGroup(26)28)NonrenormalizableTheoriesandEffectiveFieldTheory(26)29)SpontaneousSymmetryBreaking(3)30)SpontaneousSymmetryBreakingandLoopCorrections(19,29)31)SpontaneousBreakdownofContinuousSymmetries(29)32)NonabelianSymmetries(31)2QuantumFieldTheoryMarkSrednicki0:Pr

7、efaceThisisadraftversionofPartIofathree-partintroductorytextbookonquantumfieldtheory.Thebookisbasedonaone-yearcoursethatIhavetaughtoff-and-onforthepast20years.MygoalistopresentthebasicconceptsandformalismofQFTassimplyandstraightforwardlyaspossible,emphasizingitslogicals

8、tructure.Tothisend,Ihavetriedtotakethesimplestpossibleexampleofeachphenomenon,andthentoworkthroughitingreatdetail.Inthispart