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 (48)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• f(T) teleparallel gravity and cosmology
• Modified teleparallel gravity: inflation without inflaton
• Universal Aspects of Gravity Localized on Thick Branes
• f(T) Gravity and local Lorentz invariance
• Four-dimensional gravity on a thick domain wall
• Modified teleparallel theories of gravity
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Gravitational Lorentz Force and the Description of the Gravitational Interaction
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Localized Gravitons, Gauge Bosons and Chiral Fermions in Smooth Spaces Generated by a Bounce
• Large-scale Structure in f(T) Gravity
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Metric-affine approach to teleparallel gravity
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Fermion zero-modes on brane-worlds
• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• General Teleparallel Quadratic Gravity
• 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
• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Conformal transformations in modified teleparallel theories of gravity revisited
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• Localization and Mass Spectrum of Matters on Weyl Thick Branes
• Thick Brane Split Caused by Spacetime Torsion
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Fermion Resonances on Multi-field Thick Branes
• Teleparallel Spin Connection
• Gravitational waves in modified teleparallel theories of gravity
• A Warped Model of Dark Matter
• Generalized Gravitational Baryogenesis of Well-Known $f(T,T_G)$ and $f(T,B)$ Models
• Domain wall brane in a reduced Born-Infeld-$f(T)$ theory
• Thick brane in f(T,B) gravity
• Cosmological perturbations in modified teleparallel gravity models: Boundary term extension
• Gravitational baryogenesis in extended teleparallel theories of gravity
• Dark energy cosmologies for codimension-two branes
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Geometric inequivalence of metric and Palatini formulations of General Relativity
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Fermionic Kaluza-Klein modes in the string-cigar braneworld
• Vector and fermion fields on a bouncing brane with a decreasing warp factor in a string-like defect
• Fermions in a warped resolved conifold
• Scattering of Fermions by Gravitons
• Fermion localization in higher curvature and scalar-tensor theories of gravity
• Partially composite supersymmetry

Cited by in corpus (11)

• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
• Braneworlds in $f(Q)$ gravity
• Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• String-like brane splitting in the context of $f(T,B)$ gravity
• New Results For Cuscuton Multi-Field Brane
• Torsion braneworlds in a tensor-vector gravity
• Thick branes in the scalar-tensor representation of $f(R,T)$ gravity