Lorentz-violating gaugeon formalism for rank-2 tensor theory
Abstract
We develop a BRST symmetric gaugeon formalism for the Abelian rank-2 antisymmetric tensor field in the Lorentz breaking framework. The Lorentz breaking is achieved here by considering a proper subgroup of Lorentz group together with translation. In this scenario, the gaugeon fields together with the standard fields of the Abelian rank-2 antisymmetric tensor theory get mass. In order to develop the gaugeon formulation for this theory in VSR, we first introduce a set of dipole vector fields as a quantum gauge freedom to the action. In order to quantize the dipole vector fields, the VSR-modified gauge-fixing and corresponding ghost action are constructed as the classical action is invariant under a VSR-modified gauge transformation. Further, we present a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensor field theory in VSR. The gauge structures of Fock space constructed with the help of BRST charges are also discussed.
Cite
@article{arxiv.1906.03188,
title = {Lorentz-violating gaugeon formalism for rank-2 tensor theory},
author = {Sudhaker Upadhyay and Mushtaq B. Shah and Prince A. Ganai},
journal= {arXiv preprint arXiv:1906.03188},
year = {2019}
}
Comments
13 pages, Accepted for publication in Mod. Phys. Lett. A