Mirrors and field sources in a Lorentz-violating scalar field theory

Autor(es)

Borges, L. H. C. ^[1] ; Ferrari, A. F. ^{[2, 3]} ; Barone, F. A. ^[4]

Afiliação do(s) autor(es)

^[1] UNESP, Campus Guaratingueta DFQ, Guaratingueta 12516410, SP - Brazil

^[2] Indiana Univ, Ctr Spacetime Symmetries, Bloomington, IN 47405 - USA

^[3] Univ Fed ABC, Ctr Ciencias Nat & Hurnanas, Rua Santa Adelia 166, Santo Andre 09210170, SP - Brazil

^[4] IFQ Univ Fed Itajuba, Av BPS 1303, Caixa Postal 50, Itajuba 37500903, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Nuclear Physics B; v. 954, MAY 2020.
• Citações Web of Science: 0

Resumo

In this paper we consider classical effects in a model for a scalar field incorporating Lorentz symmetry breaking due to the presence of a single background vector v(mu) coupled to its derivative. We investigate of the interaction energy between stationary steady sources concentrated along parallel branes with an arbitrary number of dimensions, and derive from this study some physical consequences. For the case of the scalar dipole we show the emergence of a nontrivial torque, which is a distinctive sign of the Lorentz violation. We also investigate a similar model in the presence of a semi-transparent mirror. For a general relative orientation between the mirror and the v(mu), we are able to perform calculations perturbatively in v(mu) up to second order, and we also present exact results specific cases. For all these configurations, the propagator for the scalar field and the interaction force between the mirror and a point-like field source are computed. It is shown that the image method is valid in our model for the Dirichlet's boundary condition, and we argue that this is a non-trivial result. We also show the emergence of a torque on the mirror depending on its orientation with respect to the Lorentz violating background: this is a new effect with no counterpart in theories with Lorentz symmetry in the presence of mirrors. (C) 2020 The Authors. Published by Elsevier B.V. (AU)

• Processo FAPESP: 16/11137-5 - Gravitação renormalizável e quebra de Lorentz com campos de spin-2
• Beneficiário: Luiz Henrique de Campos Borges
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 17/13767-9 - Violação de Lorentz não-mínima em teorias de calibre e na gravitação
• Beneficiário: Alysson Fábio Ferrari
• Modalidade de apoio: Bolsas no Exterior - Pesquisa