Casimir Effect at finite temperature for the CPT-even extension of QED

TL;DR

This paper investigates the Casimir effect at finite temperature within a Lorentz-violating extension of QED using thermofield dynamics, revealing how background fields influence the Casimir energy and pressure.

Contribution

It introduces a method to compute the energy-momentum tensor and Casimir effect in Lorentz-violating QED at finite temperature using a generalized thermofield dynamics approach.

Findings

Casimir energy and pressure are derived for Lorentz-violating QED at finite temperature.

Background fields significantly influence the Casimir effect in this extended model.

Comparison with standard electromagnetic Casimir effect highlights the impact of Lorentz violation.

Abstract

By the thermofield dynamics (TFD) formalism we obtain the energy-momentum tensor for the Electromagnetism with Lorentz Breaking Even term of the Standard Model Extended (SME) Sector in a topology $S^{1}\times S^{1}\times R^{2}$. We carry out the compactification by a generalized TFD-Bogoliubov transformation that is used to define a renormalized energy-momentum tensor, and the Casimir energy and pressure at finite temperature are then derived. A comparative analysis with the electromagnetic case is developed, and we remark the influence of the background in the traditional Casimir effect.