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

E. Neres Júnior, J. C. C. Felipe, A. P. Baêta Scarpelli, A. Yu. Petrov, J. A. Helayël-Neto

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.

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

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.
Paper Structure (5 sections, 44 equations)

This paper contains 5 sections, 44 equations.

Table of Contents

  1. Introduction
  2. The LV electrodynamics
  3. The modification of the energy conservation law
  4. Electric field for a point charge
  5. Dispersion relations and the kinematics of the Compton effect