A quantum mechanics glimpse to standard cosmology

Barbosa-Cendejas, Nandinii; Reyes, M.; Morales‐Técotl, H. A.; Ureña–López, L. Arturo; Linares, Román; García‐Compeán, Hugo

doi:10.1063/1.3473861

Cited by 15 publications

(31 citation statements)

References 12 publications

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“…[37]. Except the above advantages, the thick branewolrd models also have the following promising features: (1) the effective low energy theory includes a localized massless graviton which can be used to produce the four-dimensional Newtonian potential [26,27,[38][39][40][41][42][43][44][45][46][47][48][49]; (2) the massless scalar graviton decouples from the brane system which avoids the fifth force [38,[50][51][52]; (3) the localization of the fermion field and its chirality can be guaranteed by introducing an interaction with the background scalar field [53][54][55][56]; (4) the gauge field also can be localized on the brane if a mass term is added [57][58][59]; (5) the charge universality of the gauge boson can also be obtained via the Dvali-Shifman mechanism [60][61][62][63][64]. Thus, the thick braneworld model is a kind of candidate model producing both Standard Model and Newtonian gravity, which are two key elements forming our four-dimensional world.…”

Section: Introductionmentioning

confidence: 99%

Thick brane in reduced Horndeski theory

Zhao

et al. 2019

Phys. Rev. D

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Horndeski theory is the most general scalar-tensor theory retaining second-order field equations, although the action includes higher-order terms. This is achieved by a special choice of coupling constants. In this paper, we investigate thick brane system in reduced Horndeski theory, especially the effect of the non-minimal derivative coupling on thick brane. First, the equations of motion are presented and a set of analytic background solutions are obtained. Then, to investigate the stability of the background scalar profile, we present a novel canonically normalized method, and show that although the original background scalar field is unstable, the canonical one is stable.The stability of the thick brane under tensor perturbation is also considered. It is shown that the tachyon is absent and the graviton zero mode can be localized on the brane. The localized graviton zero mode recovers the four-dimensional Newtonian potential and the presence of the non-minimal derivative coupling results in a splitting of its wave function. The correction of the massive graviton KK modes to the Newtonian potential is also analyzed briefly.

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Section: Introductionmentioning

confidence: 99%

Thick brane in reduced Horndeski theory

Zhao

et al. 2019

Phys. Rev. D

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“…In this work, we analyse the CE in the pure geometrical thick brane of Reference [29]. A manifold endowed with Weyl structure is considered, wherein Weyl scalar employs the thickness of the brane [29][30][31]. For this reason, the building of these Weyl thick brane models [32][33][34] arise naturally without the necessity of introducing them "by hand".…”

Section: Introductionmentioning

confidence: 99%

Refinements of the Weyl Pure Geometrical Thick Branes From Information‐Entropic Measure

et al. 2017

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This letter aims to analyse the so-called configurational entropy in the Weyl pure geometrical thick brane model. The Weyl structure plays a prominent role in the thickness of this model. We find a set of parameters associated to the brane width where the configurational entropy exhibits critical points. Furthermore, we show, by means of this information-theoretical measure, that a stricter bound on the parameter of Weyl pure geometrical brane model arises from the CE.

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“…Usually, in five dimension fermion do not have a normalizable zero mode without scalar-fermion coupling [34]- [42]. In five dimension, with a Yukawa scalar-fermion coupling there may exist a massless bound state and a continuous gapless spectrum of massive Kaluza-Klein (KK) states [38,43], while in some of other brane models, there exist some discrete KK state and a continuous gapless mass spectrum starting from positive m 2 [44,45]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Localization of Massive and Massless Fermions on Two-Field Branes

Farokhtabar

Tofighi

2017

Advances in High Energy Physics

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In this paper we study fermion localization and resonances on a special type of braneworld model supporting brane splitting. In such models one can construct multi-wall branes which cause considerable simplification in field equations. We use a polynomial superpotential to construct this brane. The suitable Yukawa coupling between the background scalar field and localized fermion is determined. The massive fermion resonance spectrum is obtained. The number of resonances is increased for higher values of Yukawa coupling. PACS:

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A quantum mechanics glimpse to standard cosmology

Cited by 15 publications

References 12 publications

Thick brane in reduced Horndeski theory

Thick brane in reduced Horndeski theory

Refinements of the Weyl Pure Geometrical Thick Branes From Information‐Entropic Measure

Localization of Massive and Massless Fermions on Two-Field Branes

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