Lorentz-symmetry violation in scenarios of non-linear electromagnetic models: a preliminary inspection

TL;DR

This paper explores how non-linear electromagnetic effects influence Lorentz-symmetry violation parameters, using the Carroll-Field-Jackiw model, and discusses potential experimental implications with high-intensity laser setups.

Contribution

It introduces a framework coupling non-linear electrodynamics with Lorentz-symmetry violation parameters, analyzing their effects on vacuum properties and dispersion relations.

Findings

Non-linear effects modify the vacuum's constitutive properties.

Dispersion relations are affected by the mixing of LSV and non-linear parameters.

Potential experimental signatures in high-intensity laser experiments.

Abstract

In this contribution, our efforts consist in presenting and discussing the status of a paper in progress we are working on to investigate how non-linear electromagnetic effects couple to the parameters that signal Lorentz-symmetry violation (LSV). Here, we realize LSV by means of a specific model, namely Carroll-Field-Jackiw's. We set the formulation by considering a general non-linear photonic Lagrangian (written in terms of the Lorentz-invariant bilinears in the field-strength) that may be coupled to different operators that carry the message of LSV. In possess of the polynomial equation expressing the dispersion relation and the refractive index, one can find the results that express how the (meta)material constitutive properties of the vacuum are affected by the mixing of the parameters that measure LSV with the parameters of the specific non-linear electrodynamic model under consideration. We expect that our efforts might be of interest in connection with the experiments carried out with the existing super-intense LASERs based on chirped pulse amplification.