Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism

Details Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism

1997-01-16

arxiv.org/abs/hep-th/9701080v2

Nucl.Phys. B499 (1997) 453-478

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Latex, very minor changes, a concluding paragraph inserted, version to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(97)00296-4

Using the general notions of Batalin, Fradkin, Fradkina and Tyutin to convert second class systems into first class ones, we present a gauge invariant formulation of the massive Yang-Mills theory by embedding it in an extended phase space. The infinite set of correction terms necessary for obtaining the involutive constraints and Hamiltonian is explicitly computed and expressed in a closed form. It is also shown that the extra fields introduced in the correction terms are exactly identified with the auxiliary scalars used in the generalized St\"uckelberg formalism for converting a gauge noninvariant Lagrangian into a gauge invariant form.

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