# A massive scalar field under the effects of the Lorentz symmetry violation by a CPT-odd non-minimal coupling

## TL;DR

This paper investigates how Lorentz symmetry violation, introduced via a CPT-odd non-minimal coupling in the Klein-Gordon equation, affects a massive scalar field's behavior under electromagnetic fields, providing analytical solutions for bound states.

## Contribution

It introduces a novel CPT-odd non-minimal coupling in the Klein-Gordon equation to study Lorentz symmetry violation effects on scalar fields.

## Key findings

- Analytical solutions for bound states under Lorentz violation
- Effects of electromagnetic fields on scalar field behavior
- Insights into Lorentz symmetry violation scenarios

## Abstract

In this paper, based on the Standard Model Extended gauge sector, we made a non-minimal 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.