量子场物理学

图书标准信息

• 作者 [美]斯通 著
• 出版社 世界图书出版公司
• 出版时间 2010-04
• 版次 1
• ISBN 9787506292764
• 定价 35.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 270页
• 正文语种 英语

【内容简介】

　　Thisbookisintendedtoprovideageneralintroductiontothephysicsofquantizedfieldsandmany-bodyphysics.Itisbasedonatwo-semestersequenceofcoursestaughtattheUniversityofIllinoisatUrbana-Champaignatvarioustimesbetween1985and1997.Thestudentstakingallorpartofthesequencehadinterestsrangingfromparticleandnucleartheorythroughquantumopticstocondensedmatterphysicsexperiment.
　　Thebookdoesnotcoverasmuchgroundassometexts.ThisisbecauseIhavetriedtoconcentrateonthebasicconceptualissuesthatmanystudentsfinddifficult.Foracomputation-methodorientedcourseaninstructorwouldprobablywishtosuplementthisbookwithamorecomprehensiveandspecializedtextsuchasPeskinandSchroederAnIntroductiontoQuantumFieldTheory,whichisintendedforparticletheorists,orperhapsthevenerableQuantumTheoryofMany-ParticleSystemsbyFetterandWalecka.

【目录】

Preface
1DiscreteSystems
1.1One-DimensionalHarmonicCrystal
1.1.1NormalModes
1.1.2HarmonicOscillator
1.1.3AnnihilationandCreationOperatorsforNormalModes
1.2ContinuumLimit
1.2.1SumsandIntegrals
1.2.2ContinuumFields

2RelativisticScalarFields
2.1Convcntions
2.2TheKlein-GordonEquation
2.2.1RelativisticNormalization
2.2.2AnInnerProduct
2.2.3ComplexScalarFields
2.3SymmetriesandNoethersTheorem
2.3.1InternalSymmetries
2.3.2Space-TimeSymmetries

3PerturbationTheory
3.1Interactions
3.2PerturbationTheory
3.2.1InteractionPicture
3.2.2PropagatorsandTime-OrderedProducts
3.3WicksTheorem
3.3.1NormalProducts
3.3.2WicksTheorem
3.3.3Applications

4FeynmanRules
4.1Diagrams
4.1.1DiagramsinSpace-time
4.1.2DiagramsinMomentumSpace
4.2ScatteringTheory
4.2.1Cross-Sections
4.2.2DecayofanUnstableParticle

5Loops，Unitarity，andAnalyticity
5.1UnitarityoftheSMatrix
5.2TheAnalyticSMatrix
5.2.1OriginofAnalyticity
5.2.2UnitarityandBranchCuts
5.2.3Resonances，Widths，andLifetimes
5.3SomeLoopDiagrams
5.3.1WickRotation
5.3.2FeynmanParameters
5.3.3DimensionalRegularization

6FormalDevelopments
6.1Gell-MannLowTheorem
6.2Lehmann-KaillenSpectralRepresentation
6.3LSZReductionFormulae
6.3.1AmputationofExternalLegs
6.3.2InandOutStatesandFields
6.3.3BorchersClasses

7Fermions
7.1DiracEquation
7.2Spinors，Tensors，andCurrents
7.2.1FieldBilinears
7.2.2ConservationLaws
7.3HolesandtheDiracSea
7.3.1PositiveandNegativeEnergies
7.3.2Holes
7.4Quantization
7.4.1NormalandTime-OrderedProducts

8QED
8.1QuantizingMaxwellsEquations
8.1.11HamiltonianFormalism
8.1.2AxialGauge
8.1.3LorentzGauge
8.2FeynmanRulesforQED
8.2.1MoilerScattering
8.3WardIdentityandGaugeInvariance
8.3.1TheWardIdentity
8.3.2Applications

9ElectronsinSolids
9.1SecondQuantization
9.2FermiGasandFermiLiquid
9.2.1One-ParticleDensityMatrix
9.2.2LinearResponse
9.2.3DiagramApproach
9.2.4Applications
9.3ElectronsandPhonons

10NonrelativisticBosons
10.1TheBosonField
10.2SpontaneousSymmetryBreaking
10.3DiluteBoseGas
10.3.1BogoliubovTransfomation
10.3.2FieldEquations
10.3.3Quantization
10.3.4LandauCriterionforSuperfiuidity
10.3.5NormalandSuperfiuidDensities
10.4ChargedBosom
10.4.1Gross-PitaevskiiEquation
10.4.2Vortices
10.4.3ConnectionwithFluidMechanics

11FiniteTemperature
11.1PartitionFunctions
11.2Worldlines
11.3MatsubaraSums

12PathIntegrals
12.1QuantumMechanicsofaParticle
12.1.1RealTime
12.1.2EuclideanTime
12.2GaugeInvarianceandOperatorOrdering
12.3CorrelationFunctions
12.4Fields
12.5GaussianIntegralsandFreeFields
12.5.1RealFields
12.5.2ComplexFields
12.6PerturbationTheory

13FunctionalMethods
13.1GeneratingFunctionals
13.1.1EffectiveAction
13.2WardIdentities
13.2.1GoldstonesTheorem

14PathIntegralsforFermions
14.1BerezinIntegrals
14.1.1ASimpleSupersymmetry
14.2FermionicCoherentStates
14.3Superconductors
14.3.1EffectiveAction

15LatticeFieldTheory
15.1BosonFields
15.2RandomWalks
15.3InteractionsandBoseCondensation
15.3.1RotationalInvariance
15.4LatticeFermions
15.4.1NoChiralLatticeFermions

16TheRenormailzationGroup
16.1TransferMatrices
16.1.1ContinuumLimit
16.1.2Two-DimensionalIsingModel
16.2BlockSpinsandRenormalizationGroup
16.2.1CorrelationFunctions

17FieldsandRenormalization
17.1TheFree-FieldFixedPoint
17.2TheGaussianModel
17.3GeneralMethod
17.4NonlinearoModel
17.4.1Renormalizing
17.4.2SolutionoftheRGE
17.5Renormalizing

18LargeNExpansions
18.1O(N)Lineara-Model
18.2LargeNExpansions
18.2.1Linearvs.Nonlinearσ-Models
ARelativisticStateNormalization
BTheGeneralCommutator
CDimensionalRegularization
C.IAnalyticContinuationandIntegrals
C.2Propagators
DSpinorsandthePrincipleoftheSextant
D.1Constructingtheλ-Matrices
D.2BasicTheorem
D.3Chirality
D.4Spin(2N)，Pin(2N)，andSU(N)CSO(2N)
EIndefiniteMetric
FPhononsandMomentum
GDeterminantsinQuantumMechanics
Index