Phys. Rev. D 69, 045016 (2004) [13 pages]Embedding commutative and noncommutative theories in the symplectic frameworkReceived 1 April 2003; revised 13 October 2003; published 27 February 2004 This paper is devoted to studying gauge embedding of either commutative and noncommutative theories in the framework of the symplectic formalism. We illustrate our ideas in the Proca model, the irrotational fluid model, and the noncommutative self-dual model. In the process of this new path of embedding, the infinitesimal gauge generators of the gauge embedded theory are easily and directly chosen. Among other advantages, this enables a greater control over the final Lagrangian and sheds some light on the so-called “arbitrariness problem.” © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.045016
DOI:
10.1103/PhysRevD.69.045016
PACS:
11.10.Nx, 11.10.Ef
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