Abstract

In this paper, based on the Standard Model Extended gauge sector, we made a nonminimal coupling in the Klein–Gordon equation which characterizes the Lorentz symmetry violation and, through this nonminimal CPT-odd coupling, we investigate the effects of possible scenarios of Lorentz symmetry violation by electrical and magnetic field configurations on a massive scalar field in this background, where, analytically, we determine solutions of bound states.

Highlights

  • Physical experiments have found supposed evidence that some particles detected in the Antarctic, despised as anomalies because they do not t into theories, are real and must be taken into account [1, 2]

  • Advances in High Energy Physics bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking e ects [74], on geometric quantum phases from Lorentz symmetry breaking e ects in the cosmic string spacetime [64], on relativistic EPR correlations [76], on the relativistic Anandan quantum phase and the Aharonov-Casher e ect under Lorentz symmetry breaking e ects in the cosmic string spacetime [77] and in a relativistic quantum scattering yielded by Lorentz symmetry breaking e ects [78]

  • We have investigated a massive scalar eld subject to the e ects of the Lorentz symmetry violation (LSV) through a nonminimal coupling based on the SME gauge sector

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Summary

Introduction

Physical experiments have found supposed evidence that some particles detected in the Antarctic, despised as anomalies because they do not t into theories, are real and must be taken into account [1, 2]. Advances in High Energy Physics bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking e ects [74], on geometric quantum phases from Lorentz symmetry breaking e ects in the cosmic string spacetime [64], on relativistic EPR correlations [76], on the relativistic Anandan quantum phase and the Aharonov-Casher e ect under Lorentz symmetry breaking e ects in the cosmic string spacetime [77] and in a relativistic quantum scattering yielded by Lorentz symmetry breaking e ects [78] All of these examples are investigations of a spin-1/2 fermionic eld. CPT-Old Nonminimal Coupling in the Klein–Gordon Equation e description of a massive scalar eld is given by the Klein–

Gordon equation
Conclusion
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