Hybrid Bloch brane

Bazeia, D.; Lima, Elisama E.M.; Losano, L.

doi:10.1140/epjc/s10052-017-4701-4

Cited by 10 publications

(18 citation statements)

References 47 publications

(108 reference statements)

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“…In order to obtain first order equations from the equations of motion, let us apply the so-called superpotential method [45][46][47][48][49][50][51]…”

Section: Bloch Branementioning

confidence: 99%

Phase transitions in thick branes endorsed by entropic information

Cruz¹,

Dantas²,

Correa³

et al. 2017

Physics Letters B

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The so-called configurational entropy (CE) framework has proved to be an efficient instrument to study nonlinear scalar field models featuring solutions with spatially-localized energy, since its proposal by Gleiser and Stamapoulos. Therefore, in this work, we apply this new physical quantity in order to investigate the properties of degenerate Bloch branes. We show that it is possible to construct a configurational entropy measure in functional space from the field configurations, where a complete set of exact solutions for the model studied displays both double and single-kink configurations. Our study shows a rich internal structure of the configurations, where we observe that the field configurations undergo a quick phase transition, which is endorsed by information entropy. Furthermore, the Bloch configurational entropy is employed to demonstrate a high organisational degree in the structure of the configurations of the system, stating that there is a best ordering for the solutions.Comment: 14 pages, 8 figures, published in PL

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“…In order to obtain first order equations from the equations of motion, let us apply the so-called superpotential method [45][46][47][48][49][50][51]…”

Section: Bloch Branementioning

confidence: 99%

Phase transitions in thick branes endorsed by entropic information

Cruz¹,

Dantas²,

Correa³

et al. 2017

Physics Letters B

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“…This occurs in the case of the Bloch brane [16], when one considers a two-field configuration which, in the flat spacetime leads to the so-called Bloch domain wall. Over the years, this model has been studied in several papers in the literature [17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Internal structure of cuscuton Bloch brane

2021

Self Cite

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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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“…The Bloch brane allows the existence of internal structures and a rich variety of scalar field deformations. So, there are many other models based on the initial proposal of the Bloch brane, such the degenerate Bloch brane [1] and recently the hybrid Bloch brane [5]. The term "hybrid" comes from the existence of an interval with compact structure [6].…”

Section: Introductionmentioning

confidence: 99%

“…Unlike the kink where the energy density vanishes asymptotically, a compact kink is a linear compact structure, with the energy density that vanishes outside a closed interval [6]. Then, the Bloch brane proposed in the reference [5] is the so-called hybrid, because exhibits a usual thick brane inside an interval and a compact solution outside of this interval. We analyse in this work the gravity localization and a perspective to the application of corrections to Newton's law in the hybrid Bloch brane model.…”

Section: Introductionmentioning

confidence: 99%

Corrections to Newton’s law of gravitation - application to hybrid Bloch brane

Almeida

Veras

Dantas

2018

J. Phys.: Conf. Ser.

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Abstract. We present in this work, the calculations of corrections in the Newton's law of gravitation due to Kaluza-Klein gravitons in five-dimensional warped thick braneworld scenarios. We consider here a recently proposed model, namely, the hybrid Bloch brane. This model couples two scalar fields to gravity and is engendered from a domain wall-like defect. Also, two other models the so-called asymmetric hybrid brane and compact brane are considered. Such models are deformations of the φ 4 and sine-Gordon topological defects, respectively. Therefore we consider the branes engendered by such defects and we also compute the corrections in their cases. In order to attain the mass spectrum and its corresponding eigenfunctions which are the essential quantities for computing the correction to the Newtonian potential, we develop a suitable numerical technique. The calculation of slight deviations in the gravitational potential may be used as a selection tool for braneworld scenarios matching with future experimental measurements in high energy collisions 1. Introduction Phenomenological application to braneworld models is a very interesting current subject. As can be found in detail in the introduction of reference [1], we have recent works in the braneworld branch explaining the process in the meson B decay and in the neutrinos physics, setting bounds into corrections to Coulomb's law and into electrical conductivity. Selecting parameters to the experimental data of the nucleon-nucleus total cross-section of various chemical elements, and interesting applications to black holes and gravitational waves, are other examples.In this view, one of most famous scenarios is the Bloch brane [2]. This smooth model consists in a thick brane generated by two interacting scalar fields which solve several issues in the fields localisation present in thin models [3,4], especially in the context of gauge fields and fermion fields. The Bloch brane allows the existence of internal structures and a rich variety of scalar field deformations. So, there are many other models based on the initial proposal of the Bloch brane, such the degenerate Bloch brane [1] and recently the hybrid Bloch brane [5]. The term "hybrid" comes from the existence of an interval with compact structure [6]. One of the scalar fields that compose the Bloch model is the well-known kink solution, which describes a wide variety of physics phenomena by connecting smoothly two minima. Unlike the kink where the energy density vanishes asymptotically, a compact kink is a linear compact structure, with the energy density that vanishes outside a closed interval [6]. Then, the Bloch brane proposed in the reference [5] is the so-called hybrid, because exhibits a usual thick brane inside an interval and a compact solution outside of this interval. We analyse in this work the gravity localization

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Hybrid Bloch brane

Cited by 10 publications

References 47 publications

Phase transitions in thick branes endorsed by entropic information

Phase transitions in thick branes endorsed by entropic information

Internal structure of cuscuton Bloch brane

Corrections to Newton’s law of gravitation - application to hybrid Bloch brane

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