# Fermionic Casimir effect in Horava-Lifshitz theories

## TL;DR

This paper investigates how Lorentz symmetry violation in Horava-Lifshitz theories affects the fermionic Casimir energy and pressure between parallel plates, revealing the dependence on symmetry-breaking parameters.

## Contribution

It introduces a novel analysis of fermionic Casimir effects within Lorentz-violating Horava-Lifshitz frameworks, focusing on boundary conditions and symmetry-breaking impacts.

## Key findings

- Casimir energy depends on Lorentz symmetry-breaking parameter
- Casimir pressure varies with boundary conditions and parameters
- Provides insights into quantum field behavior in Lorentz-violating theories

## Abstract

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava-Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.