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arXiv · 1803.07446

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

M. B. Cruz·E. R. Bezerra de Mello·A. Yu. Petrov
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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.

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M. B. Cruz, E. R. Bezerra de Mello, A. Yu. Petrov. 2018-05-24. Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory. https://doi.org/10.1142/s0217732318501158

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