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

R. Banerjee·J. Barcelos-Neto
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Abstract

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 Stückelberg formalism for converting a gauge noninvariant Lagrangian into a gauge invariant form.

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R. Banerjee, J. Barcelos-Neto. 1997-05-06. Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism. https://doi.org/10.1016/s0550-3213(97)00296-4

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