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

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.

19 pages. 3 figures. Version accepted for publication in IJMPA

References in corpus (4)

• Quantum Gravity at a Lifshitz Point
• The Casimir Force in a Lorentz Violating Theory
• Fermionic Casimir effect in Horava-Lifshitz theories
• Casimir energy and topological mass for a massive scalar field with Lorentz violation

Cited by in corpus (4)

• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
• Casimir Effect of rough plates under a magnetic field in Hořava-Lifshitz theory
• One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime