Fermion localization on branes with generalized dynamics

TL;DR

This paper investigates fermion localization on thick branes within a model featuring nonstandard scalar field dynamics, demonstrating that fermions can be localized via Yukawa coupling depending on coupling strength.

Contribution

It introduces a novel analysis of fermion localization on thick branes with nonstandard kinetic terms, extending previous models with new stability and localization insights.

Findings

The model is classically stable and can localize gravity.

Fermion zero modes can be localized depending on Yukawa coupling strength.

Nonstandard kinetic terms influence fermion localization properties.

Abstract

In this letter we consider a specific model of braneworld with nonstandard dynamics diffused in the literature, specifically we focus our attention on the matter energy density, the energy of system, the Ricci scalar and the thin brane limit. As the model is classically stable and capable of localize gravity, as a natural extension we address the issue of fermion localization of fermions on a thick brane constructed out from one scalar field with nonstandard kinetic terms coupled with gravity. The contribution of the nonstandard kinetic terms in the problem of fermion localization is analyzed. It is found that the simplest Yukawa coupling $\eta\bar{\Psi}\phi\Psi$ support the localization of fermions on the thick brane. It is shown that the zero mode for left-handed can be localized on the thick brane depending on the values for the coupling constant $\eta$.