# Lorentz-violating gaugeon formalism for rank-2 tensor theory

## TL;DR

This paper introduces a BRST symmetric gaugeon formalism for Abelian rank-2 tensor fields within Lorentz-violating VSR, enabling mass generation for gauge and gaugeon fields through a novel gauge structure.

## Contribution

It develops a gaugeon formalism in VSR for rank-2 tensor fields, incorporating dipole vector fields and BRST symmetry to handle Lorentz violation and gauge invariance.

## Key findings

- Massive gaugeon and gauge fields in VSR
- BRST charge-based gauge structure in VSR
- Quantization of dipole vector fields in Lorentz-violating framework

## 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.