dunne(1999)-aspects of chern-simons theory

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

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

3、ledtoMatterFields-Anyons"..................52.2Maxwell-Chern-Simons:topologicallymassivegaugetheory..............92.3Fermionsin2+1-dimensions...............................112.4DiscreteSymmetries:P,CandT.............................122.5PoincareAlgebrain2+1-dimens

4、ions..........................142.6NonabelianChern-SimonsTheories............................153CanonicalQuantizationofChern-SimonsTheories173.1CanonicalStructureofChern-SimonsTheories.....................173.2Chern-SimonsQuantumMechanics............................

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

6、.....314Chern-SimonsVortices324.1Abelian-HiggsModelandAbrikosov-Nielsen-OlesenVortices..............334.2RelativisticChern-SimonsVortices............................364.3NonabelianRelativisticChern-SimonsVortices.....................404.4NonrelativisticChern-SimonsV

7、ortices:Jackiw-PiModel...............414.5NonabelianNonrelativisticChern-SimonsVortices...................454.6VorticesintheZhang-Hansson-KivelsonModelforFQHE...............464.7VortexDynamics......................................495InducedChern-SimonsTerms525.1Pert

8、urbativelyInducedChern-SimonsTerms:FermionLoop.............525.2InducedCurrentsandChern-SimonsTerms.......................555.3InducedCher