# Fermionic Casimir effect in a field theory model with Lorentz symmetry violation

## TL;DR

This paper investigates how Lorentz symmetry violation affects the fermionic Casimir effect, revealing that the Casimir energy and pressure depend on the Lorentz-breaking vector's direction in a confined quantum field model.

## Contribution

It introduces a novel analysis of the fermionic Casimir effect within a Lorentz-violating field theory, highlighting the directional dependence of Casimir quantities.

## Key findings

- Casimir energy and pressure depend on Lorentz-violating vector direction
- Lorentz symmetry violation modifies standard Casimir effect results
- Directional dependence offers new insights into Lorentz-violating quantum fields

## Abstract

In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field confined in the region between two parallel plates. In order to implement this confinement we impose the standard MIT bag boundary on the plates for the fermionic field. In this paper we consider a quantum field theory model with a CPT even, aether-like Lorentz symmetry violation. It turns out that the fermionic Casimir energy and pressure depend on the direction of the constant vector that implements the Lorentz symmetry breaking.