Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations

Details Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations

2001-02-03

arxiv.org/abs/hep-th/0102013v2

Phys.Rev. D63 (2001) 105020

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.63.105020

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.

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