Reducible gauge theories in very special relativity

TL;DR

This paper explores the behavior of reducible gauge theories, specifically Kalb-Ramond and Abelian 3-form fields, within the framework of very special relativity, highlighting mass generation and quantization methods.

Contribution

It introduces the analysis of VSR gauge and BRST symmetries for tensor fields, including mass effects and a simplified effective action in axial gauge.

Findings

Kalb-Ramond and 3-form fields acquire mass in VSR.

Effective action simplifies in VSR axial gauge.

Models are quantized using BV formalism in VSR.

Abstract

In this paper we analyze the tensor field (reducible gauge) theories in the context of very special relativity (VSR). Particularly, we study the VSR gauge symmetry as well as VSR BRST symmetry of Kalb-Ramond and Abelian 3-form fields involving a fixed null vector. We observe that the Kalb-Ramond and Abelian 3-form fields and corresponding ghosts get masses in VSR framework. The effective action in VSR-type axial gauge is greatly simplified compared with the VSR-type Lorenz gauge. Further, we quantize these models using a Batalin-Vilkovisy (BV) formulation in VSR.