Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory

Abstract

In this paper, we investigate the thermal effect on the Casimir energy associated with a massive scalar quantum field confined between two large parallel plates in a CPT-even, aether-like Lorentz-breaking scalar field theory. In order to do that we consider a nonzero chemical potential for the scalar field assumed to be in thermal equilibrium at some finite temperature. The calculations of the energies are developed by using the Abel-Plana summation formula, and the corresponding results are analyzed in several asymptotic regimes of the parameters of the system, like mass, separations between the plates and temperature.

37 pages, version accepted to Modern Physics Letters A

References in corpus (2)

• The Casimir Force in a Lorentz Violating Theory
• Finite temperature current densities and Bose-Einstein condensation in topologically nontrivial spaces

Cited by in corpus (29)

• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Casimir effect in quadratic theories of gravity
• Casimir effect for mixed fields
• Fermionic Casimir effect in a field theory model with Lorentz symmetry violation
• Fermionic Casimir effect in Horava-Lifshitz theories
• The Casimir effect in chiral media using path integral techniques
• The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
• Casimir effect of a Lorentz-violating scalar in magnetic field
• Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
• A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation
• Mirrors and field sources in a Lorentz-violating scalar field theory
• The Lorentz-violating real scalar field at thermal equilibrium
• Lorentz violating scalar Casimir effect for a $D$-dimensional sphere
• Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors
• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory
• Casimir effect in 2+1 Horava gravity
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• TFD formalism: applications to the scalar field in a Lorentz-violating theory
• Casimir effect in polymer scalar field theory
• 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
• Finite temperature energy-momentum tensor in compactified cosmic string spacetime
• Finite temperature fermionic condensate and energy-momentum tensor in cosmic string spacetime
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime
• Casimir Energy for Lorentz-Violating Scalar Field with Helical Boundary Condition in d Spatial Dimensions
• Scalar Casimir effect for a conducting cylinder in a Lorentz violating background