Symplectic quantization of self-dual master Lagrangian

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages

Scientific paper

10.1088/0305-4470/35/34/315

We consider the master Lagrangian of Deser and Jackiw, interpolating between the self-dual and the Maxwell-Chern-Simons Lagrangian, and quantize it following the symplectic approach, as well as the traditional Dirac scheme. We demonstrate the equivalence of these procedures in the subspace of the second-class constraints. We then proceed to embed this mixed first- and second-class system into an extended first-class system within the framework of both approaches, and construct the corresponding generator for this extended gauge symmetry in both formulations.

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