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

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 analogous quantum-potential near the origin. The non-normalized massive fermionic modes are also analyzed.