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

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

doi:10.1140/epjc/s10052-021-09106-8

Cited by 24 publications

(15 citation statements)

References 54 publications

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“…As a result, the brane undergoes a splitting process as the parameter k is increased. These features are compatible with results found in other teleparallel braneworld models, as in fðTÞ [43,44,46] and fðT; BÞ [53] scenarios.…”

Section: Final Remarkssupporting

confidence: 91%

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Braneworlds in f(Q) gravity

et al. 2022

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We propose a braneworld scenario in a modified symmetric teleparallel gravitational theory, where the dynamics for the gravitational field is encoded in the nonmetricity tensor rather than in the curvature. Assuming a single real scalar field with a sine-Gordon self-interaction, the generalized quadratic nonmetricity invariant Q controls the brane width while keeping the shape of the energy density. By considering power corrections of the invariant Q in the gravitational Lagrangian, the sine-Gordon potential is modified exhibiting new barriers and false vacuum. As a result, the domain wall brane obtains an inner structure, and it undergoes a splitting process. In addition, we also propose a nonminimal coupling between a bulk fermion field and the nonmetricity invariant Q. Such geometric coupling leads to a massless chiral fermion bound to the 3-brane and a stable tower of nonlocalized massive states.

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Section: Final Remarkssupporting

confidence: 91%

“…( 81) which leads to the localization of the massless mode by gravitational interactions only. Similar nonminimal couplings involving torsion scalars were studied in a teleparallel [53] and in the Lyra geometry [54] braneworlds.…”

Section: Fermionsmentioning

confidence: 90%

Braneworlds in f(Q) gravity

et al. 2022

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“…( 58) which leads to the localization of the massless mode by gravitational interactions only. Similar non-minimal couplings involving torsion scalars were studied in a teleparallel [53] and in the Lyra geometry [54] braneworlds.…”

Section: Fermionsmentioning

confidence: 92%

Braneworlds in $f(Q)$ gravity

Silva,

Maluf,

Olmo

et al. 2022

Preprint

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We propose a braneworld scenario in a modified symmetric teleparallel gravitational theory, where the dynamics for the gravitational field is encoded in the nonmetricity tensor rather than in the curvature. Assuming a single real scalar field with a sine-Gordon self-interaction, the generalized quadratic nonmetricity invariant Q controls the brane width while keeping the shape of the energy density. By considering power corrections of the invariant Q in the gravitational Lagrangian, the sine-Gordon potential is modified exhibiting new barriers and false vacuum. As a result, the domain wall brane obtains an inner structure, and it undergoes a splitting process. In addition, we also propose a non-minimal coupling between a bulk fermion field and the nonmetricity invariant Q. Such geometric coupling leads to a massless chiral fermion bound to the 3-brane and a stable tower of non-localized massive states.

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“…We have found a new and interesting way of controlling the internal structure of brane, which can, for example, change how gravity is trapped in the brane. The modification of the internal structure can induce interesting changes in the study of other issues, for example, in the case of mimetic gravity [42,43] and when we couple fermions to the brane [44][45][46]. Furthermore, the investigation presented here can be used in other contexts of current interest such as the domain-wall/brane-cosmology correspondence [47,48] and also in gravity in two dimensions, related to the Jackiw-Teitelboim and Karch-Randall gravity/braneworld models [49][50][51], in the case of the scalar-tensor representation of f (R, T ) braneworld models [52,53], and in the study of cuscuton inflation, to verify the impact of cuscuton models on standard scalar field inflation [54].…”

Section: Cuscuton-like Dynamicsmentioning

confidence: 99%

Internal structure of cuscuton Bloch brane

2021

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This work deals with thick branes in bulk with a single extra dimension modeled by a two-field configuration. We first consider the inclusion of the cuscuton to also control the dynamics of one of the fields and investigate how it contributes to change the internal structure of the configuration in two distinct situations, with the standard and the asymmetric Bloch brane. The results show that the branes get a rich internal structure, with the geometry presenting a novel behavior which is also governed by the parameter that controls the strength of the cuscuton term. We also study the case where the dynamics of one of the two fields is only described by the cuscuton. All the models support analytical solutions which are stable against fluctuations in the metric, and the main results unveil significant modifications in the warp factor and energy density of the branes.

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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 $$f_1(T,B)=T+k_1B^{n_1}$$ f 1 ( T , B ) = T + … Show more

Cited by 24 publications

References 54 publications

Braneworlds in f(Q) gravity

Braneworlds in f(Q) gravity

Braneworlds in $f(Q)$ gravity

Internal structure of cuscuton Bloch brane

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