Non-minimal coupling branes

Liu, Yu-Xiao; Chen, Feng-Wei; Guo, Hongxia; Zhou, Xiaoliang

doi:10.1007/jhep05(2012)108

Cited by 25 publications

(26 citation statements)

References 44 publications

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“…16. It is worthwhile to mention that the massless mode (52) satisfies the Schrödinger equation (67) for m ¼ 0, as required [11,49,50]. The resolution parameter controls the height and depth of the potential well and the value of the potential at the origin.…”

Section: Quantum Potentialmentioning

confidence: 99%

Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

2013

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We have investigated the features of the gauge vector field in a braneworld scenario built as a warped product between a 3-brane and a 2-cycle of the resolved conifold. This scenario allowed us to study how the gauge field behaves when the transverse manifold evolves upon a geometric flow that controls the singularity at the origin. Also, since the transverse manifold has a cylindrical symmetry according to the 3-brane, this geometry can be regarded as a near brane correction of the stringlike branes. Indeed, by means of a new warp function and the angular metric component of the resolved conifold, the braneworld can exhibit a conical form near the origin as well as a regular behavior in that region. The analysis of the gauge field in this background has been carried out for the s-wave state and a normalizable massless mode was found. For the massive modes, the resolution parameter avoids an infinite well on the brane and controls the depth of the well and the height of the barrier around the brane. The massive modes are slightly changed near the brane but they agree with the stringlike spectrum for large distances.

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Section: Quantum Potentialmentioning

confidence: 99%

Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

2013

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“…Moreover, in Refs. [9,10,11], the authors constructed the thick brane model by including a bulk scalar field non-minimally coupling to the gravity. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Fermion localization and degenerate resonances on brane array

Xie¹,

Zhao²,

Yang³

et al. 2019

Class. Quantum Grav.

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In this work, we consider the multi-wall braneworld arisen from multiscalar fields, and investigate the localization and resonances of spin-1/2 fermion on the multi-walls. We build two analytic multi-wall solutions with a polynomial superpotential and a modified sine-Gordon superpotential respectively. The massless fermion is the only bound state and localized between the two outermost sub-branes. The factors affecting the number of massive resonant fermions are analyzed. What interesting is that all the fermion resonant states are non-degenerate for the cases of single-and two-walls, however, doubly-degenerate fermion resonant states emerge for the cases of three-and four-walls. This novel phenomenon could be potentially interesting in phenomenology.

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“…In addition, there are also braneworld models without matter fields [14,29,30]. The standard model fields in the bulk can be localized near the brane [6, 11,[31][32][33][34].The braneworld was also studied in different modified gravity theories, for example, the scalar-tensor gravity theory [35][36][37][38][39][40][41][42][43][44], the metric f (R) gravity theory [45][46][47] and the Palatini f (R) theory [48,49]. As f (T ) gravity theory came up as an alternative to dark energy for the explanation of the acceleration of the universe [50], it was then widely investigated [51][52][53][54][55].…”

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confidence: 99%

Braneworld in f(T) gravity theory with noncanonical scalar matter field

et al. 2018

Self Cite

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In this paper, we investigate the braneworld scenario in f (T ) gravity with a K-field as the background field. We consider various different specific forms of f (T ) gravity and K-field, and find a general way to construct the braneworld model. Based on our solutions, the split of branes is investigated. Besides, the stability of the braneworld is studied by investigating the tensor perturbation of the vielbein. I. INTRODUCTIONOne of the most well-known and earliest extra dimension theories was first proposed by T. Kaluza [1] and O. Klein [2] to unify Einstein's general relativity and Maxwell's electromagnetism in the 1920s. The extra dimension theories drew wide attention with the work of N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali [3] and the works of L. Randall and R. Sundrum [4, 5] in the end of the 20th century. Later, various braneworld scenarios were developed such as the Gregory-Rubakov-Sibiryakov (GRS) model [6], the Dvali-Gabadadze-Porrati (DGP) model [7], the thick brane model [8-17], the universal extra dimension model[18], etc. Among these theories, one important model is the thick brane theory originated from the domain wall model proposed by V. A. Rubakov and M. E. Shaposhnikov [19] in 1983.In the thick brane model, the brane could be generated by scalar fields [11,[20][21][22][23][24][25][26], as well as vector fields and spinor fields [12,27,28]. In addition, there are also braneworld models without matter fields [14,29,30]. The standard model fields in the bulk can be localized near the brane [6, 11,[31][32][33][34].The braneworld was also studied in different modified gravity theories, for example, the scalar-tensor gravity theory [35][36][37][38][39][40][41][42][43][44], the metric f (R) gravity theory [45][46][47] and the Palatini f (R) theory [48,49]. As f (T ) gravity theory came up as an alternative to dark energy for the explanation of the acceleration of the universe [50], it was then widely investigated [51][52][53][54][55]. Braneworld models in f (T ) theories were studied in Refs. [56][57][58]. In the previous works [56,57], the solutions of braneworld scenarios in f (T ) gravity with the form of f (T ) = T + αT n were investigated by the first-order formalism, i.e., the superpotential way. Besides, the split of the brane in f (T ) gravity was given in Ref. [56]. Furthermore, the tensor perturbation of the braneworld was also studied in Ref. [58] and it was shown that the solutions to the f (T ) braneworld were stable. The localization of matter fields was also investigated in Ref. [56]. *

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Non-minimal coupling branes

Cited by 25 publications

References 44 publications

Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

Gauge vector field localization on a 3-brane placed in a warped transverse resolved conifold

Fermion localization and degenerate resonances on brane array

Braneworld in f(T) gravity theory with noncanonical scalar matter field

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