Efeitos de torção e violação da simetria de Lorentz sobre um campo escalar sujeito a potenciais centrais

Abstract

In this work, we investigate the influence of central potentials on the scalar field in three different scenarios: the Minkowski spacetime, spacetime with a space-like dislocation and a spacetime with an anisotropy caused by the violation of the Lorentz symmetry. In the Minkowski spacetime, we analyse the scalar field subject to the Klein-Gordon oscillator plus the linear and Coulomb-type potentials. In the spacetime with a screw dislocation, we investigate the effects of torsion on the scalar field. We discuss the analogous effect to the Aharonov-Bohm effect for bound states. In addition, we analyse rotating effects on the scalar field in spacetime with a screw dislocation and in the spacetime with a spiral dislocation. Next, we deal with the interface between a theory that goes beyond the Standard Model and quantum mechanics. We consider a background of the violation of Lorentz symmetry determined by the tensor field, and thus, analyse effects on the scalar field.