English

Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations

High Energy Physics - Theory 2009-11-07 v2

Abstract

We study the relationship between three non-Abelian topologically massive gauge theories, viz. the naive non-Abelian generalization of the Abelian model, Freedman-Townsend model and the dynamical 2-form theory, in the canonical framework. Hamiltonian formulation of the naive non-Abelian theory is presented first. The other two non-Abelian models are obtained by deforming the constraints of this model. We study the role of the auxiliary vector field in the dynamical 2-form theory in the canonical framework and show that the dynamical 2-form theory cannot be considered as the embedded version of naive non-Abelian model. The reducibility aspect and gauge algebra of the latter models are also discussed.

Keywords

Cite

@article{arxiv.hep-th/0102013,
  title  = {Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations},
  author = {E. Harikumar and Amitabha Lahiri and M. Sivakumar},
  journal= {arXiv preprint arXiv:hep-th/0102013},
  year   = {2009}
}

Comments

ReVTeX, 17 pp; one reference added, version published in Phys. Rev. D