Classical investigations in a CPT-even Lorentz-violating model and their implications for the Compton effect

TL;DR

This paper explores how Lorentz-violating modifications to Maxwell electrodynamics affect energy, momentum conservation, and the Compton effect, revealing potential observable deviations from standard physics.

Contribution

It provides a detailed analysis of CPT-even Lorentz violation impacts on electromagnetic theory and the resulting corrections to the Compton scattering process.

Findings

Modified dispersion relations lead to measurable corrections in Compton scattering.

Lorentz violation alters energy and momentum conservation laws.

Potential experimental signatures of Lorentz-violating effects in photon-electron interactions.

Abstract

In this work, we investigate some aspects of the Maxwell electrodynamics with the additive Lorentz-violating (LV) CPT-even term. For this model, we derive the energy and momentum conservation laws, highlighting the modifications introduced by Lorentz violation. Furthermore, using the modified dispersion relations, we analyze the correction to Compton effect arising from the presence of the LV vector.