https://doi.org/10.1140/epjc/s10052-017-5278-7
Regular Article - Theoretical Physics
A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking
1
UNESP, Campus de Guaratinguetá, DFQ, Avenida Dr. Ariberto Pereira da Cunha 333, CEP 12516-410, Guaratinguetá, SP, Brazil
2
IFQ, Universidade Federal de Itajubá, Av. BPS 1303, Pinheirinho, Caixa Postal 50, Itajubá, MG, 37500-903, Brazil
* e-mail: luizhenriqueunifei@yahoo.com.br
Received:
3
July
2017
Accepted:
5
October
2017
Published online:
20
October
2017
In this paper we consider a model which exhibits explicit Lorentz symmetry breaking due to the presence of a single background vector 
coupled to the gauge field. We investigate such a theory in the vicinity of a perfectly conducting plate for different configurations of . First we consider no restrictions on the components of the background vector and we treat it perturbatively up to second order. Next, we treat exactly for two special cases: the first one is when it has only components parallel to the plate, and the second one when it has a single component perpendicular to the plate. For all these configurations, the propagator for the gauge field and the interaction force between the plate and a point-like electric charge are computed. Surprisingly, it is shown that the image method is valid in our model and we argue that it is a non-trivial result. We show there arises a torque on the mirror with respect to its positioning in the background field when it interacts with a point-like charge. It is a new effect with no counterpart in theories with Lorentz symmetry in the presence of a perfect mirror.
© The Author(s), 2017
