凝聚态物理学中的量子场论（第2版）
出版时间:
2010-04
版次:
1
ISBN:
9787510005534
定价:
49.00
装帧:
平装
开本:
16开
纸张:
胶版纸
页数:
360页
正文语种:
英语
-
Thisbookisacourseinmodernquantumfieldtheoryasseenthroughtheeyesofatheoristworkingincondensedmatterphysics.Itcontainsagentleintroductiontothesubjectandcanthereforebeusedevenbygraduatestudents.Theintroductorypartsincludeaderiva-tionofthepathintegralrepresentation,FeynmandiagramsandelementsofthetheoryofmetalsincludingadiscussionofLandauFermiliquidtheory.Inlaterchaptersthediscus-siongraduallyturnstomoreadvancedmethodsusedinthetheoryofstronglycorrelatedsystems.Thebookcontainsathoroughexpositionofsuchnonperturbativetechniquesas1/N-expansion,bosonization（Abelianandnon-Abelian）,conformalfieldtheoryandtheoryofintegrablesystems.Thebookisintendedforgraduatestudents,postdoctoralassociatesandindependentresearchersworkingincondensedmatterphysics. Prefacetothefirstedition
Prefacetothesecondedition
Acknowledgementsforthefirstedition
Acknowledgementsforthesecondedition
ⅠIntroductiontomethods
1QFT：languageandgoals
2Connectionbetweenquantumandclassical：pathintegrals
3Definitionsofcorrelationfunctions：Wickstheorem
4Freebosonicfieldinanexternalfield
5Perturbationtheory：Feynmandiagrams
6Calculationmethodsfordiagramseries：divergencesandtheirelimination
7Renormalizationgroupprocedures
8O(N)-symmetricvectormodelbelowthetransitionpoint
9Nonlinearsigmamodelsintwodimensions：renormalizationgroupand1/N-expansion
100(3)nonlinearsigmamodelinthestrongcouplinglimit
ⅡFermions
11PathintegralandWickstheoremforfermions
12Interactingelectrons：theFermiliquid
13Electrodynamicsinmetals
14Relativisticfermions：aspectsofquantumelectrodynamics(1+1)-Dimensionalquantumelectrodynamics(Schwingermodel)
15Aharonov-Bohmeffectandtransmutationofstatistics
Theindextheorem
QuantumHallferromagnet
ⅢStronglyfluctuagngspinsystems
Introduction
16Schwinger-Wignerquantizationprocedure：nonlinearsigmamodels
Continuousfieldtheoryforaferromagnet
Continuousfieldtheoryforanantiferromagnet
17O(3)nonlinearsigmamodelin(2+1)dimensions：thephasediagram
Topologicalexcitations：skyrmions
18Orderfromdisorder
19Jordan-WignertransformationforspinS=1/2modelsinD=1，2，3
20MajoranarepresentationforspinS=1/2magnets：relationshiptoZ2
latticegaugetheories
21Pathintegralrepresentationsforadopedantiferromagnet
NPhysicsintheworldofonespatialdimension
Introduction
22Modelofthefreebosonicmasslessscalarfield
23Relevantandirrelevantfields
24Kosterlitz-Thoulesstransition
25Conformalsymmetry
GaussianmodelintheHamiltonianformulation
26Virasoroalgebra
Wardidentities
Subalgebrasl(2)
27Differentialequationsforthecorrelationfunctions
Coulombgasconstructionfortheminimalmodels
28Isingmodel
Isingmodelasaminimalmodel
Quantumlsingmodel
OrderanddisorderoperatorsCorrelationfunctionsoutsidethecriticalpointDeformationsoftheIsingmodel
29One-dimensionalspinlessfermions：Tomonaga-Luttingerliquid
Single-electroncorrelatorinthepresenceofCoulombinteraction
SpinS=1/2Heisenbergchain
Explicitexpressionforthedynamicalmagneticsusceptibility
30One-dimensionalfermionswithspin：spin-chargeseparation
BosonicformoftheSU1(2)Kac-Moodyalgebra
SpinS=1/2Tomonaga-Luttingerliquid
Incommensuratechargedensitywave
Half-filledband
31Kac-Moodyalgebras：Wess-Zumino——Novikov-Wittenmodel
Knizhnik-Zamolodchikov(KZ)equations
Conformalembedding
SUI(2)WZNWmodelandspinS=1/2Heisenbergantiferromagnet
SU2(2)WZNWmodelandtheIsingmodel
32Wess-Zumino-Novikov-WittenmodelintheLagrangianform：
non-Abelianbosonization
33SemiclassicalapproachtoWess-Zumino-Novikov-Wittenmodels
34Integrablemodels：dynamicalmassgeneration
Generalpropertiesofintegrablemodels
Correlationfunctions：thesine-Gordonmodel
PerturbationsofspinS=1/2Heisenbergchain：confinement
35Acomparativestudyofdynamicalmassgenerationinoneandthreedimensions
Single-electronGreensfunctioninaone-dimensionalchargedensitywavestate
36One-dimensionalspinliquids：spinladderandspinS=1Heisenbergchain
Spinladder
Correlationfunctions
SpinS=1antiferromagnets
37Kondochain
38Gaugefixinginnon-Abeliantheories：(1+1)-dimensionalquantum
chromodynamics
Selectbibliography
Index
-
内容简介:
Thisbookisacourseinmodernquantumfieldtheoryasseenthroughtheeyesofatheoristworkingincondensedmatterphysics.Itcontainsagentleintroductiontothesubjectandcanthereforebeusedevenbygraduatestudents.Theintroductorypartsincludeaderiva-tionofthepathintegralrepresentation,FeynmandiagramsandelementsofthetheoryofmetalsincludingadiscussionofLandauFermiliquidtheory.Inlaterchaptersthediscus-siongraduallyturnstomoreadvancedmethodsusedinthetheoryofstronglycorrelatedsystems.Thebookcontainsathoroughexpositionofsuchnonperturbativetechniquesas1/N-expansion,bosonization（Abelianandnon-Abelian）,conformalfieldtheoryandtheoryofintegrablesystems.Thebookisintendedforgraduatestudents,postdoctoralassociatesandindependentresearchersworkingincondensedmatterphysics.
-
目录:
Prefacetothefirstedition
Prefacetothesecondedition
Acknowledgementsforthefirstedition
Acknowledgementsforthesecondedition
ⅠIntroductiontomethods
1QFT：languageandgoals
2Connectionbetweenquantumandclassical：pathintegrals
3Definitionsofcorrelationfunctions：Wickstheorem
4Freebosonicfieldinanexternalfield
5Perturbationtheory：Feynmandiagrams
6Calculationmethodsfordiagramseries：divergencesandtheirelimination
7Renormalizationgroupprocedures
8O(N)-symmetricvectormodelbelowthetransitionpoint
9Nonlinearsigmamodelsintwodimensions：renormalizationgroupand1/N-expansion
100(3)nonlinearsigmamodelinthestrongcouplinglimit
ⅡFermions
11PathintegralandWickstheoremforfermions
12Interactingelectrons：theFermiliquid
13Electrodynamicsinmetals
14Relativisticfermions：aspectsofquantumelectrodynamics(1+1)-Dimensionalquantumelectrodynamics(Schwingermodel)
15Aharonov-Bohmeffectandtransmutationofstatistics
Theindextheorem
QuantumHallferromagnet
ⅢStronglyfluctuagngspinsystems
Introduction
16Schwinger-Wignerquantizationprocedure：nonlinearsigmamodels
Continuousfieldtheoryforaferromagnet
Continuousfieldtheoryforanantiferromagnet
17O(3)nonlinearsigmamodelin(2+1)dimensions：thephasediagram
Topologicalexcitations：skyrmions
18Orderfromdisorder
19Jordan-WignertransformationforspinS=1/2modelsinD=1，2，3
20MajoranarepresentationforspinS=1/2magnets：relationshiptoZ2
latticegaugetheories
21Pathintegralrepresentationsforadopedantiferromagnet
NPhysicsintheworldofonespatialdimension
Introduction
22Modelofthefreebosonicmasslessscalarfield
23Relevantandirrelevantfields
24Kosterlitz-Thoulesstransition
25Conformalsymmetry
GaussianmodelintheHamiltonianformulation
26Virasoroalgebra
Wardidentities
Subalgebrasl(2)
27Differentialequationsforthecorrelationfunctions
Coulombgasconstructionfortheminimalmodels
28Isingmodel
Isingmodelasaminimalmodel
Quantumlsingmodel
OrderanddisorderoperatorsCorrelationfunctionsoutsidethecriticalpointDeformationsoftheIsingmodel
29One-dimensionalspinlessfermions：Tomonaga-Luttingerliquid
Single-electroncorrelatorinthepresenceofCoulombinteraction
SpinS=1/2Heisenbergchain
Explicitexpressionforthedynamicalmagneticsusceptibility
30One-dimensionalfermionswithspin：spin-chargeseparation
BosonicformoftheSU1(2)Kac-Moodyalgebra
SpinS=1/2Tomonaga-Luttingerliquid
Incommensuratechargedensitywave
Half-filledband
31Kac-Moodyalgebras：Wess-Zumino——Novikov-Wittenmodel
Knizhnik-Zamolodchikov(KZ)equations
Conformalembedding
SUI(2)WZNWmodelandspinS=1/2Heisenbergantiferromagnet
SU2(2)WZNWmodelandtheIsingmodel
32Wess-Zumino-Novikov-WittenmodelintheLagrangianform：
non-Abelianbosonization
33SemiclassicalapproachtoWess-Zumino-Novikov-Wittenmodels
34Integrablemodels：dynamicalmassgeneration
Generalpropertiesofintegrablemodels
Correlationfunctions：thesine-Gordonmodel
PerturbationsofspinS=1/2Heisenbergchain：confinement
35Acomparativestudyofdynamicalmassgenerationinoneandthreedimensions
Single-electronGreensfunctioninaone-dimensionalchargedensitywavestate
36One-dimensionalspinliquids：spinladderandspinS=1Heisenbergchain
Spinladder
Correlationfunctions
SpinS=1antiferromagnets
37Kondochain
38Gaugefixinginnon-Abeliantheories：(1+1)-dimensionalquantum
chromodynamics
Selectbibliography
Index
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