Fermion localization in braneworld teleparallel f(T,B) gravity

TL;DR

This paper investigates how fermions behave in a thick braneworld within teleparallel $f(T,B)$ gravity, analyzing the effects of specific parameters on fermion localization, mass spectrum, and quantum potential characteristics.

Contribution

It introduces a detailed analysis of fermion localization in $f(T,B)$ gravity with Yukawa coupling, highlighting the role of model parameters in shaping fermionic modes.

Findings

Parameters $n_{1,2}$ and $k_{1,2}$ influence the width of zero modes.

Parameters affect the extent of massive fermionic modes.

Quantum potential properties near the origin are modulated by these parameters.

Abstract

We study a spin 1/2 fermion in a thick braneworld in the context of teleparallel $f(T, B)$ gravity. Here, $f(T,B)$ is such that $f_1(T,B)=T+k_1B^{n_1}$ and $f_2(T,B)=B+k_2T^{n_2}$, where $n_{1,2}$ and $k_{1,2}$ are parameters that control the influence of torsion and the boundary term. We assume Yukawa coupling, where one scalar field is coupled to a Dirac spinor field. We show how the $n_{1,2}$ and $k_{1,2}$ parameters control the width of the massless Kaluza-Klein mode, the breadth of non-normalized massive fermionic modes, and the properties of the analogue quantum-potential near the origin.