2010•Springer Link (Chiba Institute of Technology)Requires access

Nilpotent (anti-)BRST symmetry transformations for dynamical non-Abelian 2-form gauge theory: Superfield formalism

Bhu-phys-cas Preprint, R. P. Malik

Open publisher page 4 citations

Abstract

\n We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical four (3 + 1)-dimensional (4D) non-Abelian 2-form gauge theory within the framework of geometrical superfield formalism. We obtain the (anti-)BRST-invariant coupled Lagrangian densities that respect the above nilpotent symmetry transformations. We discuss, furthermore, this (anti-)BRST invariance in the language of the superfield formalism. One of the novel features of our present investigation is the observation that, in addition to the horizontality condition, we are theoretically compelled to invoke some other physically relevant restrictions in order to deduce the precise (anti-)BRST symmetry transformations for all the fields of a topologically massive 4D non-Abelian gauge theory.\n

Open-access reader

About this research paper

What this paper is about

\n We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical four (3 + 1)-dimensional (4D) non-Abelian 2-form gauge theory within the framework of geometrical superfield formalism. We obtain the (anti-)BRST-invariant coupled Lagrangian densities that respect the above nilpotent symmetry transformations. We discuss, furthermore, this (anti-)BRST invariance in the language of the superfield formalism. One of the novel features of our present investigation is the observation that, in addition to the horizontality condition, we are theoretically compelled to invoke some other physically relevant restrictions in order to deduce the precise (anti-)BRST symmetry transformations for all the fields of a topologically massive 4D non-Abelian gauge theory.\n

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

\n We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical four (3 + 1)-dimensional (4D) non-Abelian 2-form gauge theory within the framework of geometrical superfield formalism. We obtain the (anti-)BRST-invariant coupled Lagrangian densities that respect the above nilpotent symmetry transformations. We discuss, furthermore, this (anti-)BRST invariance in the language of the superfield formalism. One of the novel features of our present investigation is the observation that, in addition to the horizontality condition, we are theoretically compelled to invoke some other physically relevant restrictions in order to deduce the precise (anti-)BRST symmetry transformations for all the fields of a topologically massive 4D non-Abelian gauge theory.\n

Key concepts: BRST quantization, Nilpotent, Gauge theory, Mathematical physics, Abelian group, Invariant (physics), Physics, Superfield

Related papers

Back to paper searchBrowse research topicsOriginal source
Nilpotent (anti-)BRST symmetry transformations for dynamical non-Abelian 2-form gauge theory: Superfield formalism — Research Paper | ScholarLens