Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld

TL;DR

This paper investigates how non-minimal coupling of fermions to torsion in a teleparallel f(T) braneworld influences fermion localization and mode properties, offering an alternative to Yukawa interactions with potential implications for extra-dimensional models.

Contribution

It introduces a non-minimal torsion-fermion coupling in a teleparallel braneworld, providing a new mechanism for fermion localization without Yukawa interactions.

Findings

Torsion parameters affect the width of the massless mode.

The properties of the quantum potential are influenced by torsion.

Massive fermionic modes are analyzed in detail.

Abstract

We study a spin 1/2 fermion in a teleparallel f(T) domain-wall thick braneworld. By assuming a non-minimal coupling of fermion to the torsion, a geometric alternative to the Yukawa coupling is found. The torsion parameters control the width of the massless Kaluza-Klein mode and the properties of the analogue quantum-potential near the origin. The non-normalized massive fermionic modes are also analyzed.