Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations

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.

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

References in corpus (5)

• Nonabelian Topological Mass Generation in 4 Dimensions
• The Dynamical Nonabelian Two-Form: BRST Quantization
• A No-Go Theorem for the Nonabelian Topological Mass Mechanism in Four Dimensions
• Renormalizability of the Dynamical Two-Form
• Non-Abelian Antisymmetric-Vector Coupling from Self-Interaction

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• Local symmetries of the non-Abelian two-form
• Topologically massive non-Abelian theory: superfield formalism
• BRST analysis of topologically massive gauge theory: novel observations
• Nilpotent Symmetries in Jackiw-Pi Model: Augmented Superfield Approach
• Superfield Approach to Nilpotent Symmetries of the Freedman-Townsend Model: Novel Features
• Augmented Superfield Approach to Non-Yang-Mills Symmetries of Jackiw-Pi Model: Novel Observations
• Conservation Law for Massive Scale-Invariant Photons in Weyl-Invariant Gravity
• 3D Jackiw-Pi Model: (Anti-)Chiral Superfield Approach to BRST Formalism
• (3+1)-Dimensional Topologically Massive 2-form Gauge Theory: Geometrical Superfield Approach
• Mass generation for abelian spin-1 particles via a symmetric tensor
• Kinetic Terms for 2-Forms in Four Dimensions
• An equivalence of two mass generation mechanisms for gauge fields