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

M. B. Cruz

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

E-mail Address: messiasdebritocruz@gmail.com

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E. R. Bezerra de Mello

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

E-mail Address: emello@fisica.ufpb.br

Corresponding author

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A. Yu. Petrov

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

E-mail Address: petrov@fisica.ufpb.br

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https://doi.org/10.1142/S0217732318501158Cited by:50 (Source: Crossref)

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.

Keywords:

PACS: 04.62.+v, 11.30.Cp

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