Embedding commutative and noncommutative theories in the symplectic framework

C. Neves, W. Oliveira, D. C. Rodrigues, and C. Wotzasek
Phys. Rev. D 69, 045016 – Published 27 February 2004
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Abstract

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.”

  • Received 1 April 2003

DOI:https://doi.org/10.1103/PhysRevD.69.045016

©2004 American Physical Society

Authors & Affiliations

C. Neves and W. Oliveira*

  • Departamento de Física, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil

D. C. Rodrigues and C. Wotzasek

  • Instituto de Física, Universidade Federal do Rio de Janeiro, 21945-970, Rio de Janeiro, RJ, Brazil

  • *Electronic address: cneves,wilson@fisica.ufjf.br
  • Electronic address: clovis,cabral@if.ufrj.br

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Issue

Vol. 69, Iss. 4 — 15 February 2004

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