On the effects of the Lorentz symmetry violation yielded by a tensor field on the interaction of a scalar particle and a Coulomb-type field

We analyse the interface between a theory that goes beyond the Standard Model and quantum mechanics. Based on a line of research that deals with the violation of the Lorentz symmetry, where it is assumed that at least one privileged direction in the spacetime, studies have been made in search of a hint of a fundamental theory that goes beyond the energy scale of the Standard Model. This fundamental theory describes a spontaneous breaking of the Lorentz symmetry by a tensor background, which can be considered to be a perturbation. Then, we analyse the interaction of a scalar particle with a Coulomb-type potential in the presence of a background of the violation of the Lorentz symmetry established by a tensor field. (C) 2018 Elsevier Inc. All rights reserved.