Symplectic quantization of self-dual master Lagrangian

Abstract

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.

27 pages

References in corpus (3)

• Static properties of chiral models with SU(3) group structure
• Symplectic embedding and Hamilton-Jacobi analysis of Proca model
• BFFT quantization and dynamical solutions of a fluid field theory

Cited by in corpus (2)

• Gauge invariances vis-{á}-vis Diffeomorphisms in second order metric gravity: A new Hamiltonian approach
• Constraint structure of O(3) nonlinear sigma model revisited