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

Moreira, A. R. P.; Silva, J.E.G.; Almeida, C. A. S.

doi:10.1016/j.aop.2022.168912

Cited by 12 publications

(3 citation statements)

References 54 publications

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“…where c is just a constant [26][27][28]55,56]. It is important to note that here ψ even and ψ odd respectively represent the even and odd parity modes of ψ(z).…”

Section: Massive Modesmentioning

confidence: 99%

“…In recent years, the braneworld models have been investigated in the context of modified gravity such as mimetic gravity [16,17], f (R) gravity [18], f (R, T ) gravity [19][20][21] and modified teleparallel gravity [22,23,[25][26][27]. In addition to the strong agreement with recent observations of the expansion of the universe, it has been shown that it is possible to build a thick brane with internal structure generated by a single scalar field within gravity f (T ) [23,27].…”

Section: Introductionmentioning

confidence: 99%

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Gauge field localization in branes: coupling to a scalar function and coupling to torsion in teleparallel gravity scenario

et al. 2023

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This paper is aimed at investigating the behavior of gauge vector and tensor fields on thick brane in f(T) gravity. This thick brane is not capable of providing a normalizable zero mode for both gauge and Kalb Ramond fields. To overcome this problem, we propose two distinct types of gauge-invariant couplings. In the first coupling, the fields are minimally coupled to the scalar field responsible for generating the thick brane. In the second coupling, we use the geometric coupling in which the fields are non-minimally coupled to torsion. Another issue that we investigate is resonant modes, which allow us to understand the massive spectrum of fields. Indeed we note that an internal structure appears for the Kalb–Ramond massive solutions and both couplings show resonant modes of the massive spectrum.

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“…where c is just a constant [26][27][28]55,56]. It is important to note that here ψ even and ψ odd respectively represent the even and odd parity modes of ψ(z).…”

Section: Massive Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gauge field localization in branes: coupling to a scalar function and coupling to torsion in teleparallel gravity scenario

et al. 2023

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“…Currently, what has been drawing more attention is the study of these extradimensional models in modified teleparallel gravity [37][38][39][40][41][42][43]. In the fivedimensional model, it was It is possible to obtain an internal structure in the thick brane scenario with only a real scalar field as a source, in addition to generating significant modifications in the location of gravity and fermions [44][45][46][47]. In a six-dimensional model, little is known about the influence of the modification of gravity in the brane scenario.…”

Section: Introductionmentioning

confidence: 99%

String-like brane splitting in the context of f(T, B) gravity

Moreira

Almeida

2023

Preprint

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In this work, the influence of the boundary term B is analyzed in a string-like thick brane scenario in the gravity context f(T, B). For that, three models of f(T, B) are proposed, i. e., f1(T, B) = T + kBn, f2(T, B) = T + k(−T + B)n and f3(T, B) = T + k1T2 + k2B2, where n, k and k1,2 are parameters that control the deviation from the usual teleparallelism. The first relevant result obtained was the appearance of a super-located tower in the core for energy density. Furthermore, the greater the influence of the boundary term, the new maximums and minimums appear in the energy density. All this indicates the emergence of capable structures from split to the brane. The second relevant result was obtained by analyzing the gravitational perturbations, where the effective potential presents the supersymmetric form of quantum mechanics, leading to well-localized massless modes.

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String-like brane splitting in the context of $$f(T,\mathcal {B})$$ gravity

Moreira,

Almeida

2023

Gen Relativ Gravit

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

Cited by 12 publications

References 54 publications

Gauge field localization in branes: coupling to a scalar function and coupling to torsion in teleparallel gravity scenario

Gauge field localization in branes: coupling to a scalar function and coupling to torsion in teleparallel gravity scenario

String-like brane splitting in the context of f(T, B) gravity

String-like brane splitting in the context of $$f(T,\mathcal {B})$$ gravity

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