# NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory

## TL;DR

This paper calculates the next-to-leading order radiative corrections to the Casimir energy in a Lorentz-violating scalar field theory with parallel plates, highlighting how Lorentz symmetry breaking affects quantum vacuum energies.

## Contribution

It provides the first detailed calculation of NLO radiative corrections to Casimir energy in Lorentz-violating scalar field theory, considering different Lorentz violation directions.

## Key findings

- NLO corrections depend on the Lorentz violation direction.
- Renormalization is performed for the Lorentz-violating theory.
- Results show modifications to Casimir energy due to Lorentz symmetry breaking.

## Abstract

Violation of the Lorentz symmetry has important effects on physical quantities including field propagators. Therefore, in addition to the leading order, the sub-leading order of quantities may be modified. In this paper, we calculate the next to leading (NLO) radiative corrections to the Casimir energy in the presence of two perfectly conducting parallel plates for $\phi^4$ theory with a Lorentz-breaking extension. We do the renormalization and investigate these NLO corrections for three distinct directions of the Lorentz violation; temporal direction, parallel and perpendicular to the plates.