内容简介
Thisbookisamodernpedagogicintroductiontotheideasandtechniquesofquantumfieldtheory.
AfterabriefoverviewofparticlephysicsandasurveyofrelativisticwaveequationsandLagrangianmethods,thequantumtheoryofscalarandspinorfields,andthenofgaugefields,isdevelopedTheemphasisthroughoutisonfunctionalmethods,whichhaveplayedalargepartinmodernfieldtheory.Thebookconcludeswithabriefsurveyof`topological'objectsinfieldtheoryand,newtothisedition,achapterdevotedtosupersymmetry.目录
Prfacetothefirstedition
Prefacetothesecondedition
1Intropduction:synosisofparticlephysics
1.1Quantumfieldtheory
1.2Gravitation
1.3Stronginteractions
1.4Weakinteractions
1.5Leptonicquantumnumbers
1.6Hadronicquantumnumbers
1.7Resonances
1.8Thequarkmodel
1.9SU(2),SU(3)SU(4)
1.10Dynamicalevidenceforquarks
1.11Colour
1.12QCD
1.13Weakinteractions
Guidetofurtherreading
2Single-particlerelativisticwaveequations
2.1Rel;ativisticnotation
2.2Klein-Gordonequation
2.3Diracequation
SU(2)andtherotaiongroup
SL(2,C)andtheantiparticles
2.4Prdicitonofantiparticles
2.5ConstructionofDiracspinors:algebraof
2.6Non-relativisticlimitandtheelectronmagneticmoment
2.7TherelevanceofthePointcaregroupoperatorsandthezeromasslimit
2.8MaxwellandProcaequations
2.9Maxwell'sequationsanddifferentialgeometry
Summary
Guidetofurtherreading
3Lagrangianformulation,symmetriesandgaugefields
3.1Lagrangianformulationofparticlemechanics
3.2Therealscalarfield:variationalprincipleandNoether'stheorem
3.3Complexscalarfieldsandtheelectromagneticfield
3.4Topologyandthevacuum:theBohm-Aharonoveffect
3.5TheYang-Millsfield
3.6Thegeometryofgaugefields
Summary
Guidetofurtherreading
4Canonicalquantisationandparticleinterpretation
4.1TherealKlein-Gordonfield
4.2ThecomplexKlein-Gordonfield
4.3TheDiracfield
4.4Theelectromagneticfield
Radiationgaugequantisation
Lorentzgaugequantisation
4.5Themassivevectorfield
Summary
Guidetofurtherreading
5Pathintegralsandquantummechanics
5.1Path-integralformulationofquantummechanics
5.2PerturbationtheoryandtheSmatrix
5.3Coulombscattering
5.4Functionalcalculus:differentiation
5.5Furtherpropertiesofpathintegrals
Appendix:someusefulintegrals
Summary
Guidetofurtherreading
6Path-integralquantisationandFeynmanrules:scalarandspinorfields
6.1Generatingfunctionalforscalarfields
6.2Functionalintegration
6.3FreeparticleGreen'sfunctions
6.4Generatingfunctionalsforinteractingfields
……
7Path-imtegralquantisation:gaugefields
8SpontaneoussymmetrybreakingandtheWeinberg-Salammodel
9Renormalisation
10Toplogicalobjectsinfieldtheory
References
Index