Axion Mass Bound in Very Special Relativity

TL;DR

This paper explores how Very Special Relativity (VSR) modifies axion electrodynamics, revealing nonlocal effects that alter classical dynamics, photon-axion interactions, and duality symmetry, with potential observable consequences.

Contribution

It introduces a VSR-inspired framework for axion electrodynamics, analyzing its effects on classical solutions, photon-axion transitions, and symmetry properties, which are novel compared to standard theories.

Findings

VSR induces nonlocal effects in axion electrodynamics.

Photon polarization is affected by VSR, leading to observable polarization changes.

Duality symmetry is modified within the VSR framework.

Abstract

In this paper we propose a very special relativity (VSR)-inspired description of the axion electrodynamics. This proposal is based upon the construction of a proper study of the SIM$(2)$--VSR gauge-symmetry. It is shown that the VSR nonlocal effects give a health departure from the usual axion field theory. The axionic classical dynamics is analysed in full detail, first by a discussion of its solution in the presence of an external magnetic field. Next, we compute photon-axion transition in VSR scenario by means of Primakoff interaction, showing the change of a linearly polarized light to a circular one. Afterwards, duality symmetry is discussed in the VSR framework.