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

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
499
Identifiers
DOI: 10.1016/s0550-3213(97)00296-4
Keywords
  • Methods In Theoretical Physics

Abstract

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 non-invariant Lagrangian into a gauge-invariant form.

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