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Casimir effect in Horava–Lifshitz-like theories

I. J. Morales Ulion

Departamento de Física-CCEN, Universidade Federal da Paraíba, 58.059-970, J. Pessoa, PB. C. Postal 5.008, Brazil

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E. R. Bezerra de Mello

Departamento de Física-CCEN, Universidade Federal da Paraíba, 58.059-970, J. Pessoa, PB. C. Postal 5.008, Brazil

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

Corresponding author.

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, and

A. Yu. Petrov

Departamento de Física-CCEN, Universidade Federal da Paraíba, 58.059-970, J. Pessoa, PB. C. Postal 5.008, Brazil

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

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https://doi.org/10.1142/S0217751X15502206Cited by:25 (Source: Crossref)

Abstract

In this paper, we consider a Lorentz-breaking scalar field theory within the Horava–Lifshtz approach. We investigate the changes that a space–time anisotropy produces in the Casimir effect. A massless real quantum scalar field is considered in two distinct situations: between two parallel plates and inside a rectangular two-dimensional box. In both cases, we have adopted specific boundary conditions on the field at the boundary. As we shall see, the energy and the Casimir force strongly depends on the parameter associated with the breaking of Lorentz symmetry and also on the boundary conditions.

Keywords:

PACS: 03.70.+k, 11.10.Ef

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