New Effects in the Vicinity of a Perfectly Conducting Plate in a Non-minimal Lorentz Violation Scenario

Autor(es)

Borges, L. H. C. ^[1] ; Barone, F. A. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, Ctr Ciencias Nat & Humanas, Rua Santa Adelia 166, BR-09210170 Santo Andre, SP - Brazil

^[2] IFQ Univ Fed Itajuba, Ave BPS 1303, Caixa Postal 50, BR-37500903 Itajuba, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Brazilian Journal of Physics; v. 50, n. 5 AUG 2020.
• Citações Web of Science: 0

Resumo

In this paper we consider some physical phenomena in the vicinity of a conducting plate in a non-minimal Lorentz-violating scenario in 3 + 1 dimensions. We consider a model where the dynamics of the abelian gauge field is given by the standard Maxwell Lagrangian added by a Lorentz symmetry breaking term with the presence of higher order derivatives in the gauge field. The Lorentz symmetry breaking is due to the presence of a single background vectord(lambda)and we perform the calculations perturbatively up to first order ind(lambda). We obtain the propagator for the gauge field in the presence of a mirror and the interaction force between the mirror and a point-like electric charge, as well as the interaction force between the mirror and an electric dipole. We show that, on the contrary to what happens in a minimal Lorentz-violating scenario with one single background field (L.H.C. Borges, F.A. Barone, Eur. Phys. J. C693, 77,2017), the image method is not valid in the model that we consider in this paper. As a consequence, the symmetry of spatial reflection on the mirror is broken. We also investigate the emergence of a torque in a system composed by a mirror and a point-like electric charge, placed at a fixed distance apart each other. The results obtained in this work have no counterpart in the Maxwell electrodynamics and were not verified in any Lorentz-violating scenario previously. (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