Quantum Gauge Freedom in Very Special Relativity

TL;DR

This paper explores the gaugeon formalism within Very Special Relativity, showing that gauge fields naturally acquire mass through quantum gauge transformations, differing from the Higgs mechanism.

Contribution

It extends the gaugeon formalism to VSR, demonstrating mass generation for gauge fields without the Higgs mechanism and analyzing BRST symmetry in this context.

Findings

Gaugeon fields and gauge fields acquire mass in VSR

Quantum gauge transformations shift gauge parameters

BRST formalism in VSR requires only one subsidiary condition

Abstract

We demonstrate Yokoyama gaugeon formalism for the Abelian one-form gauge (Maxwell) as well as for Abelian two-form gauge theory in the very special relativity (VSR) framework. In VSR scenario, the extended action due to introduction of gaugeon fields also possesses form invariance under quantum gauge transformations. It is observed that the gaugeon field together with gauge field naturally acquire mass, which is different from the conventional Higgs mechanism. The quantum gauge transformation implements a shift in gauge parameter. Further, we analyse the BRST symmetric gaugeon formalism in VSR which embeds only one subsidiary condition rather than two.