规范场理论：Gauge Field Theory
出版时间:
2008-05
版次:
1
ISBN:
9787506292078
定价:
99.00
装帧:
平装
开本:
16开
纸张:
胶版纸
页数:
609页
正文语种:
英语
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ThisbookhasitsorigininalongseriesoflecturesgivenattheInstituteforTheoreticalPhysics,WarsawUniversity.Itisaddressedtograduatestudentsandtoyoungresearchworkersintheoreticalphysicswhohavesomeknowledgeofquantumfieldtheoryinitscanonicalformulation,forinstanceattheleveloftwovolumesbyBjorken&Drell(1964,1965).Thebookisintendedtobearelativelyconcisereferencetosomeofthefieldtheoreticaltoolsusedincontemporaryresearchinthetheoryoffundamentalinteractions.Itisatechnicalbookandnoteasyreading.Physicalproblemsarediscussedonlyasillustrationsofcertaintheoreticalideasandofcomputationalmethods.Noattempthasbeenmadetoreviewsystematicallythepresentstatusofthetheoryoffundamentalinteractions. 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
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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
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