Thermal effects of Very Special Relativity Quantum Electrodynamics

TL;DR

This paper calculates the high-temperature effective Lagrangian for VSR-modified QED, revealing how Lorentz-violating interactions influence thermodynamic properties at finite temperature.

Contribution

It introduces the computation of the effective Lagrangian in VSR QED at one and two-loop levels, highlighting the impact of nonlocal interactions on high-temperature behavior.

Findings

VSR modifies gauge invariance and introduces nonlocal interactions.

High-temperature internal energy density is affected by VSR Lorentz violation.

Comparison shows significant deviations from standard QED predictions.

Abstract

In this paper we compute the high-temperature effective Lagrangian for the quantum electrodynamics defined in the framework of Very Special Relativity (VSR). The main aspect of the VSR setting is that it modifies the gauge invariance, admitting now different types of interactions appearing in a nonlocal form. In order to explore the richness of these new couplings, we employ the usual Matsubara imaginary-time formalism to evaluate the effective Lagrangian at one and two-loop order. We illustrate the leading VSR Lorentz violation modifications by computing high-temperature internal energy density and establishing a comparison with the expected contribution.