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Embedding commutative and noncommutative theories in the symplectic framework

2003/11/24 by C. Neves, Clifford Neves, W. Oliveira +4 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.69.045016

published as Phys.Rev. D69 (2004) 045016 · 20 pages, to appear in PRD

arxiv created 2003/11/24 · openalex publication_date 2004/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.''

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