Geometric quantization of topological gauge theories. (English) Zbl 0925.58110
Summary: We show that Abelian gauge theories in \(2+1\) space-time dimensions with the introduction of a topological Chern-Simons term can be quantized with the use of the symplectic formalism. The consistency of our results are verified by the agreement with the ones from the Dirac case.
MSC:
58Z05 | Applications of global analysis to the sciences |
53D50 | Geometric quantization |
81S10 | Geometry and quantization, symplectic methods |
Keywords:
geometric quantization; topological gauge theories; Abelian gauge theories; 2+1 spacetime dimensions; topological Chern Simons term; symplectic formalism; pure Chern Simons theory; Maxwell plus Chern Simons theoryReferences:
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