规范场理论：Gauge Field Theory

图书标准信息

• 作者 [波兰]波考斯基 著
• 出版社 世界图书出版公司
• 出版时间 2008-05
• 版次 1
• ISBN 9787506292078
• 定价 99.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 609页
• 正文语种 英语

【内容简介】

　　ThisbookhasitsorigininalongseriesoflecturesgivenattheInstituteforTheoreticalPhysics,WarsawUniversity.Itisaddressedtograduatestudentsandtoyoungresearchworkersintheoreticalphysicswhohavesomeknowledgeofquantumfieldtheoryinitscanonicalformulation,forinstanceattheleveloftwovolumesbyBjorken&Drell(1964,1965).Thebookisintendedtobearelativelyconcisereferencetosomeofthefieldtheoreticaltoolsusedincontemporaryresearchinthetheoryoffundamentalinteractions.Itisatechnicalbookandnoteasyreading.Physicalproblemsarediscussedonlyasillustrationsofcertaintheoreticalideasandofcomputationalmethods.Noattempthasbeenmadetoreviewsystematicallythepresentstatusofthetheoryoffundamentalinteractions.

【目录】

PrefacetotheFirstEdition
0Introduction
0.1Gaugeinvariance
0.2Reasonsforgaugetheoriesofstrongandelectroweakinteractions
QCD
Electroweaktheory
1Classicalfields，symmetriesandtheirbreaking
1.1Theaction，equationsofmotion，symmetriesandconservationlaws
Equationsofmotion
Globalsymmetries
Space-timetransformations
Examples

1.2Classicalfieldequations
Scalarfieldtheoryandspontaneousbreakingofglobalsymmetries
Spinorfields

1.3Gaugefieldtheories
U(1)gaugesymmetry
Non-abeliangaugesymmetry

1.4FromClassicaltoquantumfields(canonicalquantization)
Scalarfields
TheFeynmanpropagator
Spinorfields
Symmetrytransformationsforquantumields

1.5Discretesymmetries
Spacereflection
Timereversal
Chargeconjugation
SummaryandtheCPTtransformations
CPviolationintheneutralK0-K0-system
Problems

2Pathintegralformulationofquantumfieldtheory
2.1Pathintegralsinquantummechanics
Transitionmatrixelementsaspathintegrals
Matrixelementsofpositionoperators

2.2Vacuum-to-vacuumtransitionsandtheimaginarytimeformalism
Generaldiscussion
Harmonicoscillator
EuclideanGreensfunctions

2.3Pathintegralformulationofquantumfieldtheory
Greensfunctionsaspathintegrals
Actionquadraticinfields
Gaussianintegration

2.4Introductiontoperturbationtheory
Perturbationtheoryandthegeneratingfunctional
Wickstheorem
Anexample：four-pointGreensfunctioninλφ4
Momentumspace

2.5Pathintegralsforfermions;Grassmannalgebra
Anticommutingc-numbers
Diracpropagator

2.6GeneratingfunctionalsforGreensfunctionsandpropervertices;effective
potential
ClassificationofGreensfunctionsandgeneratingfunctionals
Effectiveaction
Spontaneoussymmetrybreakingandeffectiveaction
Effectivepotential
2.7Greensfunctionsandthescatteringoperator
Problems

3FeynmanrulesforYang-Millstheories
3.1TheFaddeev-Popovdeterminant
Gaugeinvarianceandthepathintegral
Faddeev-Popovdeterminant
Examples
Non-covariantgauges

3.2FeynmanrulesforQCD
CalculationoftheFaddeev-Popovdeterminant
Feynmanrules

3.3Unitarity，ghosts，Becchi-Rouet-Storatransformation
Unitarityandghosts
BRSandanti-BRSsymmetry
Problems

4Introductiontothetheoryofrenormalization
4.1Physicalsenseofrenormalizationanditsarbitrariness
Bareandphysicalquantities
Countertermsandtherenormalizationconditions
5Quantumelectrodynamics
6Renormalizationgroup
7Scaleinvarianceandoperatorproductexpansion
8Quantumchromodynamics
9Chiralsymmetry;spontaneoussymmetrybreading
10Spontaneousandexplicitglobalsymmetrybreaking
11Brout-Englert-Higgsmechanismingaugetheories
12Standardelectroweaktheory
13Chiralanomalies
14Effectivelagrangians
15Introductiontosupersymmetry
AppendixA：Spinorsandtheirproperties
AppendixB：FeynmanrulesforQEDandQCDandFeynmanintegrals
AppendixC：FeynmanrulesfortheStandardModel
AppendixD：One-loopFeynmanintegrals
AppendixE：Elementsofgrouptheory
References
Index