dunne(1999)-aspects of chern-simons theory

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1、AspectsofChern-SimonsTheoryGeraldV.DunneDepartmentofPhysicsUniversityofConnecticutStorrs,CT06269USAdunne@hep.phys.uconn.eduAbstractLecturesatthe1998LesHouchesSummerSchool:TopologicalAspectsofLowDimensionalSystems.Theselecturescontainanintroductiontovariousaspe

2、ctsofChern-Simonsgaugetheory:(i)basicsofplanareldtheory,(ii)canonicalquantizationofChern-Simonstheory,(iii)Chern-Simonsvortices,and(iv)radiativelyinducedChern-Simonsterms.arXiv:hep-th/9902115v116Feb19991Contents1Introduction32BasicsofPlanarFieldTheory52.1Cher

3、n-SimonsCoupledtoMatterFields-Anyons"..................52.2Maxwell-Chern-Simons:topologicallymassivegaugetheory..............92.3Fermionsin2+1-dimensions...............................112.4DiscreteSymmetries:P,CandT.............................122.5PoincareA

4、lgebrain2+1-dimensions..........................142.6NonabelianChern-SimonsTheories............................153CanonicalQuantizationofChern-SimonsTheories173.1CanonicalStructureofChern-SimonsTheories.....................173.2Chern-SimonsQuantumMechanics....

5、........................193.3CanonicalQuantizationofAbelianChern-SimonsTheories...............233.4QuantizationontheTorusandMagneticTranslations.................253.5CanonicalQuantizationofNonabelianChern-SimonsTheories.............283.6Chern-SimonsTheorieswit

6、hBoundary..........................314Chern-SimonsVortices324.1Abelian-HiggsModelandAbrikosov-Nielsen-OlesenVortices..............334.2RelativisticChern-SimonsVortices............................364.3NonabelianRelativisticChern-SimonsVortices..................

7、...404.4NonrelativisticChern-SimonsVortices:Jackiw-PiModel...............414.5NonabelianNonrelativisticChern-SimonsVortices...................454.6VorticesintheZhang-Hansson-KivelsonModelforFQHE...............464.7VortexDynamics................................

8、......495InducedChern-SimonsTerms525.1PerturbativelyInducedChern-SimonsTerms:FermionLoop.............525.2InducedCurrentsandChern-SimonsTerms.......................555.3InducedCher