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Advances in High Energy Physics
Volume 2019, Article ID 1248393, 13 pages
Research Article

A Central Potential with a Massive Scalar Field in a Lorentz Symmetry Violation Environment

Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, Brazil

Correspondence should be addressed to R. L. L. Vitória; moc.liamtoh@19siul-odracir

Received 16 January 2019; Accepted 2 May 2019; Published 4 June 2019

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2019 R. L. L. Vitória and H. Belich. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We investigate the behaviour of a massive scalar field under the influence of a Coulomb-type and central linear central potentials inserted in the Klein-Gordon equation by modifying the mass term in the spacetime with Lorentz symmetry violation. We consider the presence of a background constant vector field which characterizes the breaking of the Lorentz symmetry and show that analytical solutions to the Klein-Gordon equation can be achieved.