N=1-Supersymmetric Description of a Spin-1/2 charged Particle in a 5d-World

TL;DR

This paper explores the quantum dynamics of a charged spin-1/2 particle in a 5-dimensional electromagnetic field, proposing a link between extra dimensions and phenomena like back reaction and dark matter behavior.

Contribution

It introduces a novel 5D supersymmetric framework for describing a charged particle and identifies effects of the fifth dimension on back reaction and dark matter-like phenomena.

Findings

Back reaction force linked to the fifth dimension.

Dark matter behavior emerges in specific interaction regimes.

Quantum dynamics influenced by extra-dimensional effects.

Abstract

We study the dynamics of a charged spin-1/2 particle in an external 5-dimensional electromagnetic field. We then consider that we are at the $TeV$\ scale, so that we can access the fifth dimension and carry out our physical considerations in a 5-dimensional brane. In this brane, we focus our attention to the quantum-mechanical dynamics of a charged particle minimally coupled to the 5-dimensional electromagnetic field. We propose a way to identify the Abraham-Lorentz back reaction force as an effect of the extra (fifth) dimension. Also, a sort of dark matter behavior can be identified in a particular regime of the dynamics of the particle interacting with the bulk electric field.