Hamiltonian vs Lagrangian Embedding of a Massive Spin-one Theory Involving 2-form Field

Details Hamiltonian vs Lagrangian Embedding of a Massive Spin-one Theory Involving 2-form Field Hamiltonian vs Lagrangian Embedding of a Massive Spin-one Theory Involving 2-form Field

2001-04-11

arxiv.org/abs/hep-th/0104107v1

Int.J.Mod.Phys. A17 (2002) 405-416

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 13 pages, no figure, to appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X02006006

We consider the Hamiltonian and Lagrangian embedding of a first-order, massive spin-one, gauge non-invariant theory involving anti-symmetric tensor field. We apply the BFV-BRST generalised canonical approach to convert the model to a first class system and construct nil-potent BFV-BRST charge and an unitarising Hamiltonian. The canonical analysis of the St\"uckelberg formulation of this model is presented. We bring out the contrasting feature in the constraint structure, specifically with respect to the reducibility aspect, of the Hamiltonian and the Lagrangian embedded model. We show that to obtain manifestly covariant St\"uckelberg Lagrangian from the BFV embedded Hamiltonian, phase space has to be further enlarged and show how the reducible gauge structure emerges in the embedded model.

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