On aether terms in a space-time with a compact extra dimension

J. Furtado; T. Mariz; J. R. Nascimento; A. Yu. Petrov

doi:10.1140/epjc/s10052-023-11639-z

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 460
https://doi.org/10.1140/epjc/s10052-023-11639-z

Regular Article - Theoretical Physics

On aether terms in a space-time with a compact extra dimension

J. Furtado¹, T. Mariz², J. R. Nascimento³ and A. Yu. Petrov³^d

¹ Centro de Ciências e Tecnologia, Universidade Federal do Cariri, 63048-080, Juazeiro do Norte, Ceará, Brazil
² Instituto de Física, Universidade Federal de Alagoas, 57072-270, Maceió, Alagoas, Brazil
³ Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

^d petrov@fisica.ufpb.br

Received: 4 May 2023
Accepted: 18 May 2023
Published online: 2 June 2023

Abstract

In this paper, we explicitly calculate the aether-like corrections for the electromagnetic field in the case when the space-time involves an extra compact spatial dimension besides of usual four dimensions. Our methodology is based on an explicit summation over the Kaluza–Klein tower of fields which turns out to be no more difficult than the finite-temperature calculations. We found some new terms which can be treated as certain five-dimensional generalizations of the aether-like terms $κ^{mnpq} F_{mn} F_{pq}$ $\kappa ^{mnpq}F_{mn}F_{pq}$ and $\bar{ψ} c^{mn} γ_{m} \partial_{n} ψ$ $\bar{\psi }c^{mn}\gamma _m\partial _n \psi$ which in four dimensions are treated as important ingredients of the Lorentz-breaking extension of the standard model. We have shown that these new terms become to dominate in the limit where the extra dimension is very small, allowing us to suggest that there will be essential modifications of quantum corrections if our space indeed has a small extra spatial dimension. Moreover, we have shown that in the CPT-even case we have extra new particles as a consequence of the extra dimension.

© The Author(s) 2023

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