<p>In this work, we investigate the localization mechanism of fermions in a braneworld scenario within the framework of <i>teleparallel</i> <i>f</i>(<i>T</i>) gravity, by introducing derivative coupling terms in the five-dimensional action. We apply a brane scenario whose solution is obtained in the five-dimensional <i>f</i>(<i>T</i>) gravity with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(f(T)=T+kT^{n}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mrow> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> <mo>=</mo> <mi>T</mi> <mo>+</mo> <mi>k</mi> <msup> <mi>T</mi> <mi>n</mi> </msup> </mrow> </math></EquationSource> </InlineEquation>. The study on <i>f</i>(<i>T</i>) branes is particularly relevant as they offer an alternative explanation to dark energy for the accelerated expansion of the Universe. Unlike the conventional Yukawa coupling approach, we employ a derivative fermion-scalar coupling instead. Given the flexibility in choosing the form of this derivative coupling term, we examine two distinct coupling functions: one involving the background scalar field and the other including the torsion scalar. It is shown that the massless zero mode of fermion fields can be localized only on the brane if it is coupled with the torsion scalar field. Also, we find that these mechanisms can result in a volcano-like potential for the fermion massive modes related to the corresponding Schrödinger-like equation. Additionally, the influence of the parameter that controls the deviation of the usual <i>teleparallel</i> gravity theory on the zero mode and fermion effective potential is addressed for both coupling functions.</p>

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Fermion localization in the modified teleparallel gravity through derivative coupling terms

  • Masoumeh Moazzen Sorkhi,
  • Zahra Ghalenovi

摘要

In this work, we investigate the localization mechanism of fermions in a braneworld scenario within the framework of teleparallel f(T) gravity, by introducing derivative coupling terms in the five-dimensional action. We apply a brane scenario whose solution is obtained in the five-dimensional f(T) gravity with \(f(T)=T+kT^{n}\) f ( T ) = T + k T n . The study on f(T) branes is particularly relevant as they offer an alternative explanation to dark energy for the accelerated expansion of the Universe. Unlike the conventional Yukawa coupling approach, we employ a derivative fermion-scalar coupling instead. Given the flexibility in choosing the form of this derivative coupling term, we examine two distinct coupling functions: one involving the background scalar field and the other including the torsion scalar. It is shown that the massless zero mode of fermion fields can be localized only on the brane if it is coupled with the torsion scalar field. Also, we find that these mechanisms can result in a volcano-like potential for the fermion massive modes related to the corresponding Schrödinger-like equation. Additionally, the influence of the parameter that controls the deviation of the usual teleparallel gravity theory on the zero mode and fermion effective potential is addressed for both coupling functions.