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arXiv · 0805.1102

A note on the (anti-)BRST invariant Lagrangian densities for the free abelian 2-form gauge theory

Saurabh Gupta·R. P. Malik
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Abstract

We show that the previously known off-shell nilpotent (s_{(a)b}^2 = 0) and absolutely anticommuting (s_b s_{ab} + s_{ab} s_b = 0) Becchi-Rouet-Stora-Tyutin (BRST) transformations (s_b) and anti-BRST transformations (s_{ab}) are the symmetry transformations of the appropriate Lagrangian densities of a four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory which do not explicitly incorporate a very specific constrained field condition through a Lagrange multiplier 4D vector field. The above condition, which is the analogue of the Curci-Ferrari restriction of the non-Abelian 1-form gauge theory, emerges from the Euler-Lagrange equations of motion of our present theory and ensures the absolute anticommutativity of the transformations s_{(a)b}. Thus, the coupled Lagrangian densities, proposed in our present investigation, are aesthetically more appealing and more economical.

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Saurabh Gupta, R. P. Malik. 2010-08-25. A note on the (anti-)BRST invariant Lagrangian densities for the free abelian 2-form gauge theory. https://doi.org/10.1142/s0217732310033323

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