Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors

TL;DR

This paper investigates how Lorentz symmetry violation, introduced via constant vectors in a scalar quantum field, alters the Casimir effect between parallel plates, revealing anisotropic modifications to energy and pressure.

Contribution

It presents a theoretical analysis of the Casimir effect in a Lorentz-violating scenario using a CPT-even, aether-like model with constant vectors, which is a novel approach.

Findings

Lorentz violation induces anisotropic modifications to Casimir energy.

The Casimir pressure is affected by the orientation of the constant vectors.

The model predicts measurable deviations from standard Casimir effects under Lorentz violation.

Abstract

In this work, we consider a theoretical model that presents violation of the Lorentz symmetry in the approach of Quantum Field Theory. The theoretical model adopted consists of a real massive scalar quantum field confined in the region between two large parallel plates. The Lorentz symmetry violation is introduced by CPT-even, aether-like approach, considering a direct coupling between the derivative of the the scalar field with two orthogonal constant vectors. The main objective of this paper is to analyze the modification on the Casimir energy and pressure caused by the anisotropy of the space-time as consequence of these couplings. The confinement of the scalar quantum field between the plates is implemented by the imposition boundaries conditions on them.