Fermion localization in higher curvature and scalar–tensor theories of gravity

Mitra, Joydip; Paul, Tanmoy; SenGupta, Soumitra

doi:10.1140/epjc/s10052-017-5420-6

Cited by 19 publications

(17 citation statements)

References 70 publications

(126 reference statements)

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“…This is because of the freedom one has to propose the Yukawa coupling term. The location of the fermion was studied in several modified gravity models, such as gravity f (R) [29][30][31] and gravity f (T ) [32,33].…”

Section: Introductionmentioning

confidence: 99%

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

2021

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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 $$f_1(T,B)=T+k_1B^{n_1}$$ f 1 ( T , B ) = T + k 1 B n 1 and $$f_2(T,B)=B+k_2T^{n_2}$$ f 2 ( T , B ) = B + k 2 T n 2 , where $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ 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 $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ 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.

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Section: Introductionmentioning

confidence: 99%

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

2021

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“…Moreover, a complete investigation should include the localization of matter fields on the brane. For some of the related references, one may refer to [15,53,54]. We will not address this issue in this paper.…”

Section: Resultsmentioning

confidence: 99%

Tensor perturbations and thick branes in higher-dimensional f(R) gravity

Cui

Lin

Wan

et al. 2020

J. High Energ. Phys.

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We study brane worlds in an anisotropic higher-dimensional spacetime within the context of f(R) gravity. Firstly, we demonstrate that this spacetime with a concrete metric ansatz is stable against linear tensor perturbations under certain conditions. Moreover, the Kaluza-Klein modes of the graviton are analyzed. Secondly, we investigate thick brane solutions in six dimensions and their properties. We further exhibit two sets of solutions for thick branes. At last, the effective potential of the Kaluza-Klein modes of the graviton is discussed for the two solved f(R) models in higher dimensions.

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“…For example in Refs. [36,37], the analytical solutions of these equations are computed. In our work due to the more complex structure of the functions W φ defined in relations (11) and 12…”

Section: A Qualitative Discussion On the Graviton And Fermion Massivementioning

confidence: 99%

Fermion and graviton in Dirac–Born–Infeld braneworld models

2020

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In this paper, we study the braneworld models with non-standard kinetic term of Dirac-Born-Infeld (DBI) type in two case which are (I) in usual gravity and (II) in f (T) gravity. In each of these cases, we examine gravity localization on branes and show that both models are stable and capable of gravity localizing in a similar manner to the standard case of braneworld models. In addition, we investigate the problem of fermion localization in both models and by considering the Yukawa coupling as a function of the warp factor, we show that the massless zero mode of fermion fields are localized on both types of the the branes. Meanwhile, the effect of parameters in both models is addressed on the zero mode and massive mode of graviton and fermion and the effective potentials. Finally, we study the gauge hierarchy problem in both models and we show that by choosing the appropriate parameters, both models are able to solve the gauge hierarchy problem between the Tev scale and the Planck scale.

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Fermion localization in higher curvature and scalar–tensor theories of gravity

Cited by 19 publications

References 70 publications

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

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

Tensor perturbations and thick branes in higher-dimensional f(R) gravity

Fermion and graviton in Dirac–Born–Infeld braneworld models

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