Fermion confinement induced by geometry

TL;DR

This paper demonstrates that fermion confinement in a five-dimensional space can be achieved through geometric interactions involving Weyl scalar or torsion fields, independent of particle energy or mass.

Contribution

It introduces a novel geometric mechanism for fermion confinement using Weyl and torsion fields, extending previous scalar field models to a purely geometric context.

Findings

Fermion confinement is independent of energy and mass.

Geometric interactions can replace scalar fields for localization.

Results generalize to n-dimensional curved spaces.

Abstract

We consider a five-dimensional model in which fermions are confined in a hypersurface due to an interaction with a purely geometric field. Inspired by the Rubakov-Shaposhnikov field-theoretical model, in which massless fermions can be localized in a domain wall through the interaction of a scalar field, we show that particle confinement may also take place if we endow the five-dimensional bulk with a Weyl integrable geometric structure, or if we assume the existence of a torsion field acting in the bulk. In this picture, the kind of interaction considered in the Rubakov-Shaposhnikov model is replaced by the interaction of fermions with a geometric field, namely a Weyl scalar field or a torsion field. We show that in both cases the confinement is independent of the energy and the mass of the fermionic particle. We generalize these results to the case in which the bulk is an arbitrary n-dimensional curved space.