Coulomb-type interaction under Lorentz symmetry breaking effects
R. L. L. Vitoria, H. Belich, K. Bakke
TL;DR
This paper investigates how Lorentz symmetry breaking influences a relativistic scalar particle under a Coulomb-type potential, revealing that such effects can induce a harmonic potential and alter energy levels.
Contribution
It introduces a novel analysis of Lorentz symmetry breaking effects on relativistic particles with Coulomb-like interactions, providing analytical solutions to the Klein-Gordon equation.
Findings
Lorentz symmetry breaking induces a harmonic-type potential.
Analytical solutions for the Klein-Gordon equation are obtained.
Lorentz violation affects the relativistic energy spectrum.
Abstract
Based on models of confinement of quarks, we analyse a relativistic scalar particle subject to a scalar potential proportional to the inverse of the radial distance and under the effects of the violation of the Lorentz symmetry. We show that the effects of the Lorentz symmetry breaking can induced a harmonic-type potential. Then, we solve the Klein-Gordon equation analytically and discuss the influence of the background of the violation of the Lorentz symmetry on the relativistic energy levels.
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