Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime

TL;DR

This paper investigates how Lorentz symmetry breaking influences a relativistic scalar particle with a confining potential in the cosmic string spacetime, revealing modifications to the Klein-Gordon equation and bound state solutions.

Contribution

It introduces a novel analysis of Lorentz symmetry violation effects on scalar particles in cosmic string spacetime, including modifications to the Klein-Gordon equation and bound state solutions.

Findings

Lorentz symmetry breaking modifies the Klein-Gordon equation in cosmic string spacetime.

Bound state solutions are obtained under Lorentz violation backgrounds.

The scalar potential affects the particle's behavior in the presence of Lorentz symmetry breaking.

Abstract

The behaviour of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string spacetime is discussed. It is considered two possible scenarios of the Lorentz symmetry breaking in the CPT-even gauge sector of the Standard Model Extension defined by a tensor $\left(K_{F}\right)_{\mu\nu\alpha\beta}$. Then, by introducing a scalar potential as a modification of the mass term of the Klein-Gordon equation, it is shown that the Klein-Gordon equation in the cosmic string spacetime is modified by the effects of the Lorentz symmetry violation backgrounds and bound state solution to the Klein-Gordon equation can be obtained.