Electromagnetic Casimir effect in a Lorentz symmetry violation model

TL;DR

This paper investigates how Lorentz symmetry violations, modeled via Horava-Lifshitz and higher-derivative approaches, alter the electromagnetic Casimir effect between parallel plates.

Contribution

It introduces two novel Lorentz violation models and analyzes their impact on Casimir energy and pressure in electromagnetic fields.

Findings

Casimir energy is modified by Lorentz violation effects.

Pressure between plates shows measurable deviations.

Different models produce distinct signatures in Casimir phenomena.

Abstract

In this paper, we study the electromagnetic Casimir effects in the context of Lorentz symmetry violations. Two distinct approaches are considered: the first one is based on Horava-Lifshitz methodology, which explicitly presents a space-time anisotropy, while the second is a model that includes higher-derivatives in the field strength tensor and a preferential direction in the space-time. We assume that the electromagnetic field obeys the standard boundary conditions on two large parallel plates. Our main objectives are to investigate how the Casimir energy and pressure are modified in both Lorentz violation scenarios.