Thermal correction on the Casimir energy in a Horava-Lifshitz Lorentz-violating scenario

TL;DR

This paper examines how finite temperature affects the Casimir energy in a Lorentz-violating Horava-Lifshitz scenario, focusing on a massive scalar field between parallel plates.

Contribution

It introduces the analysis of thermal corrections to the Casimir energy within a Lorentz-violating Horava-Lifshitz framework, highlighting the influence of the LV parameter.

Findings

Thermal effects modify the Casimir energy in the Lorentz-violating scenario.

The LV parameter $\xi$ influences the magnitude of thermal corrections.

Results provide insights into quantum field behavior under Lorentz violation at finite temperature.

Abstract

The Casimir effect is considered a great triumph of Quantum Field Theory. Originally the Casimir energy was investigated considering the vacuum fluctuation associated with electromagnetic field; however it has also been analyzed considering different type of quantum fields. More recently the Casimir energy was studied in the context of Lorentz symmetry violation. In this work we investigate the effect of finite temperature on the Casmir energy considering a Lorenttz violation symmetry in a Horava-Lifshitz scenario. In this sense we consider a massive scalar quantum field confined in a region between two large and parallel plates. So our main objective is to investigate how, in this Lorentz violation scenario (LV), the Casimir energy depends on the temperature. Another point to be analyzed, is influence of the parameter associated with the LV, $\xi$, in the thermal correction.