Casimir energy and topological mass for a massive scalar field with Lorentz violation

TL;DR

This paper investigates how Lorentz symmetry violation influences the Casimir effect and topological mass generation for a massive scalar field with various boundary conditions, using a path integral approach.

Contribution

It introduces a Lorentz-violating aether-type model to analyze the Casimir effect and topological mass, providing new insights into their dependence on Lorentz symmetry breaking.

Findings

Lorentz violation modifies the Casimir energy density.

Topological mass is affected by Lorentz symmetry breaking.

Results are compared with previous literature findings.

Abstract

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with a self-interacting massive scalar fields obeying Dirichlet, Newman and mixed boundary conditions on two large and parallel plates. By adopting the path integral approach we found the effective potential at one- and two-loop corrections which provides both the energy density and topological mass when taken in the ground state of the scalar field. We then analyse how these quantities are affected by the Lorentz symmetry violation and compare the results with previous ones found in literature.