CPT-even electrodynamics in a multidimensional torus: Casimir effect at finite temperature

R. P. M. Moreira; G. X. A. Petronilo; A. E. Santana; R. G. G. Amorim; H. Belich

doi:10.1140/epjc/s10052-022-10968-9

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 999
https://doi.org/10.1140/epjc/s10052-022-10968-9

Regular Article - Theoretical Physics

CPT-even electrodynamics in a multidimensional torus: Casimir effect at finite temperature

R. P. M. Moreira¹, G. X. A. Petronilo¹, A. E. Santana¹, R. G. G. Amorim¹^,2 and H. Belich³^,4^e

¹ International Center of Physics, Instituto de Física, Universidade de Brasília, 70.910-900, Brasília, DF, Brazil
² Gamma Faculdade, Universidade de Brasília (UnB), 72.444-240, Brasília, DF, Brazil
³ Departamento de Física e Química, Universidade Federal do Espírito Santo, 29060-900, Vitória, ES, Brazil
⁴ Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil

^e humberto.belich@ufes.br

Received: 4 August 2022
Accepted: 28 October 2022
Published online: 7 November 2022

Abstract

The energy–momentum tensor for the electromagnetism with Lorentz breaking even term of the Standard Model Extended (SME) photon sector confined in a hyper torus is determined. A generalized partition function method is used, following in parallel the thermofield dynamics formalism written in N-dimensional toroidal manifold. After considering general aspects of the SME photon sector in a toroidal manifold, the influence of the isotropic CPT-even electromagnetic sector of the SME is analysed. The approach is then applied to the Casimir effect at finite temperature, corresponding to a topology , where N is the dimension of the Minkowski space-time, and r is the number of compactified dimensions.influence of the isotropic CPT-even electromagnetic sector of the SME is analysed.

© The Author(s) 2022

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