Casimir effect in Very Special Relativity at finite temperature

TL;DR

This paper investigates the Casimir effect at finite temperature within the framework of Very Special Relativity, highlighting how Lorentz violation influences electromagnetic phenomena and comparing results with standard physics.

Contribution

It introduces the calculation of the energy-momentum tensor, Stefan-Boltzmann law, and Casimir effect in VSR, incorporating temperature effects via Thermo Field Dynamics.

Findings

Casimir effect is modified in VSR due to Lorentz violation.

Temperature effects are incorporated using Thermo Field Dynamics.

Comparison shows deviations from standard electromagnetic Casimir effect.

Abstract

Recently a great deal of interest in field theories formulated in a Lorentz violating framework has been developed. Here the Very Special Relativity (VSR) is considered. The main aspect in the VSR proposal is that laws of physics are invariant under the subgroups of the Poincar\'e group preserving the basic elements of special relativity. An important point is that the photon acquires a mass. In this context, the energy-momentum tensor for the electromagnetic field is calculated. From this, the Stefan-Boltzmann law and Casimir effect at finite temperature in VSR are obtained. The effects of temperature are introduced using the Thermo Field Dynamics (TFD) formalism. A comparative analysis with the Casimir effect for the standard electromagnetic case is developed.