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

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 $f_1(T,B)=T+k_1{B}^{n_1}$ and $f_2(T,B)=B+k_2{T}^{n_2}$, 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.

12 pages, 7 figures. To appear in European Physical Journal C

References in corpus (16)

• Modified teleparallel gravity: inflation without inflaton
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Cosmological bouncing solutions in f(T,B) gravity
• Gravity localization on thick branes: a numerical approach
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Fermion Resonances on Multi-field Thick Branes
• A Warped Model of Dark Matter
• Generalized Gravitational Baryogenesis of Well-Known $f(T,T_G)$ and $f(T,B)$ Models
• Thick brane in f(T,B) gravity
• Gravitational baryogenesis in extended teleparallel theories of gravity
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Fermion localization in higher curvature and scalar-tensor theories of gravity