Casimir Effect in Horava-Lifshitz-like theories

TL;DR

This paper studies how Lorentz symmetry breaking in Horava-Lifshitz scalar field theories affects the Casimir effect, revealing dependence on anisotropy parameters and boundary conditions in different geometries.

Contribution

It provides a detailed analysis of the Casimir effect within Lorentz-breaking Horava-Lifshitz scalar theories, highlighting the influence of anisotropy parameters and boundary conditions.

Findings

Casimir energy and force depend on Lorentz symmetry breaking parameters.

Boundary conditions significantly affect the Casimir effect.

Anisotropy alters the magnitude and sign of the Casimir force.

Abstract

In this paper we consider a Lorentz-breaking scalar field theory within the Horava-Lifshtz approach. We investigate the changes that a space-time anisotropy produces in the Casimir effect. A massless real quantum scalar field is considered in two distinct situations: between two parallel plates and inside a rectangular two-dimensional box. In both cases we have adopted specific boundary conditions on the field at the boundary. As we shall see, the energy and the Casimir force strongly depends on the parameter associated with the breaking of Lorentz symmetry and also on the boundary conditions.