Lorentz violation, M\"oller scattering and finite temperature

TL;DR

This paper investigates how Lorentz and CPT symmetry violations at high energies affect M"oller scattering cross sections at finite temperature, using Thermo Field Dynamics to incorporate thermal effects.

Contribution

It introduces a novel calculation of Lorentz-violating effects on M"oller scattering at finite temperature via a CPT-odd nonminimal coupling and TFD formalism.

Findings

Lorentz violation modifies the M"oller scattering cross section.

Finite temperature effects are incorporated into the Lorentz-violating framework.

Results suggest potential experimental signatures of Lorentz violation at high energies.

Abstract

Lorentz and CPT symmetries may be violated in new physics that emerges at very high energy scale, i.e., at the Planck scale. The differential cross section of the M\"oller scattering, due to Lorentz violation at finite temperature is calculated. Lorentz-violating effects emerge from an interaction vertex due to a CPT-odd nonminimal coupling in the covariant derivative. The finite temperature effects are determined using the Thermo Field Dynamics (TFD) formalism.