# Casimir effects in Lorentz-violating scalar field theory

## TL;DR

This paper investigates how Lorentz symmetry breaking affects the Casimir energy of a scalar field between parallel plates, revealing dependence on the symmetry-breaking direction and boundary conditions.

## Contribution

It introduces a Lorentz-violating extension of scalar field theory and calculates the Casimir energy considering various boundary conditions and symmetry-breaking directions.

## Key findings

- Casimir energy depends on the Lorentz-breaking vector orientation.
- Boundary conditions significantly influence the Casimir energy.
- Lorentz violation alters the traditional Casimir effect results.

## Abstract

In this paper we consider a Lorentz-breaking extension of the theory for a real massive scalar quantum field in the region between two large parallel plates, with our manner to break the Lorentz symmetry is CPT-even, aether-like. For this system we calculated the Casimir energy considering different boundary conditions. It turns out to be that the Casimir energy strongly depends on the direction of the constant vector implementing the Lorentz symmetry breaking, as well as on the boundary conditions.