New observations in the BRST analysis of dynamical non-Abelian 2-form gauge theory

Abstract

We generalize the usual gauge transformations connected with the 1-form gauge potential to the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive non-Abelian gauge theory that incorporates the famous (B\wedge F) term where there is an explicit topological coupling between 1-form and 2-form gauge fields. A novel feature of our present investigation is the observation that the (anti-)BRST symmetry transformations for the auxiliary 1-form field (K_μ) and 2-form gauge potential (B_{0i}) are not generated by the (anti-)BRST charges that are derived by exploiting all the relevant (anti-)BRST symmetry transformations corresponding to all the fields of the present theory. This observation is a new result because it is drastically different from the application of the BRST formalism to (non-)Abelian 1-form and Abelian 2-form as well as 3-form gauge theories.

arXiv commentLaTeX file, 11 pages, journal-version

References in corpus (7)

• Abelian 2-form gauge theory: superfield formalism
• The Dynamical Nonabelian Two-Form: BRST Quantization
• BRST, anti-BRST and their geometry
• Renormalizability of the Dynamical Two-Form
• Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations
• Absolutely anticommuting (anti-)BRST symmetry transformations for topologically massive Abelian gauge theory
• Nilpotent (anti-)BRST symmetry transformations for dynamical non-Abelian 2-form gauge theory: superfield formalism

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• Topologically massive non-Abelian theory: superfield formalism
• BRST analysis of topologically massive gauge theory: novel observations
• Augmented Superfield Approach to Gauge-invariant Massive 2-Form Theory
• Nilpotent Symmetries in Jackiw-Pi Model: Augmented Superfield Approach
• Superfield Approach to Nilpotent Symmetries of the Freedman-Townsend Model: Novel Features
• 3D Jackiw-Pi Model: (Anti-)Chiral Superfield Approach to BRST Formalism
• Augmented Superfield Approach to Non-Yang-Mills Symmetries of Jackiw-Pi Model: Novel Observations
• HTL effective action of topologically massive gluons in 3+1 dimensions
• (3+1)-Dimensional Topologically Massive 2-form Gauge Theory: Geometrical Superfield Approach