Localisation of massive fermions on the brane

TL;DR

This paper develops a model for localizing massive fermions on a four-dimensional brane within a five-dimensional anti-de Sitter space, analyzing the mass spectrum and stability of bound states.

Contribution

It extends previous models to include massive fermion bound states and provides analytical and numerical analysis of their mass spectrum and confinement stability.

Findings

Fermion mass spectrum on the brane is discrete.

Bound states can have lifetimes longer than the universe's age.

Model accommodates massive fermions confined on the brane.

Abstract

We construct an explicit model to describe fermions confined on a four dimensional brane embedded in a five dimensional anti-de Sitter spacetime. We extend previous works to accommodate massive bound states on the brane and exhibit the transverse structure of the fermionic fields. We estimate analytically and calculate numerically the fermion mass spectrum on the brane, which we show to be discrete. The confinement life-time of the bound states is evaluated, and it is shown that existing constraints can be made compatible with the existence of massive fermions trapped on the brane for durations much longer than the age of the Universe.