New family of potentials with analytical twiston-like solutions

2019

Preprint

Self Cite

The present work unveils a new procedure to determine analytical hybrid braneworld models. The discussions were based on the so-called Block branes, which are constructed via a two-field model coupled with gravity in 5-dimensional spacetime. Both fields used to build the Block branes depend only on the extra dimension and such branes are considered thick, once they have internal structure. In this work, we were able to derive new analytical thick brane models by using an extension method. Some of these new branes unveil a Minkowski space-time immersed inside of the fifth-dimension. We showed how the symmetry of the emergent branes can be controlled via specific parameters. We also analyzed the stability conditions for each derived model.

Section: Extension Methodsmentioning

confidence: 99%

The Extension Method for Bloch Branes

Brito

Losano

2019

Preprint

Self Cite

“…The effective model is obtained via the application of an extension method developed in [27]. Such a method was successfully applied in the context of a cosmological model as one can see in [22], to build analytical three scalar field models [28] and recently to derive new topological twiston-like defects for polyethylene molecules [29]. In this approach, we are going to deal with the analytical solutions…”

Section: Transforming Non-physical Solutions In Bps Statesmentioning

confidence: 99%

A General Method for Transforming Nonphysical Configurations in BPS States

Advances in High Energy Physics

Dutra

Winter

et al. 2019

Self Cite

In this work, we apply the so-called BPS method in order to obtain topological defects for a complex scalar field Lagrangian introduced by Trullinger and Subbaswamy. The BPS approach led us to compute new analytical solutions for this model.In our investigation, we found analytical configurations which satisfy the BPS first-order differential equations but do not obey the equations of motion of the model. Such defects were named non-physical ones. In order to recover the physical meaning of these defects, we proposed a procedure which can transform them into BPS states of new scalar field models. The new models here founded were applied in the context of hybrid cosmological scenarios, where we derived cosmological parameters compatible with the observed Universe. Such a methodology opens a new window to connect different two scalar fields systems and can be implemented in several distinct applications such as Bloch Branes, Lorentz and Symmetry Breaking Scenarios, Q-Balls, Oscillons, Cosmological Contexts, and Condensed Matter Systems.

The extension method for Bloch branes

Brito

Losano

2021

Int. J. Mod. Phys. A

The nature of gravity and its strength compared with other forces are fundamental challenges faced by the actual science. A path to understand the hierarchy problem of gravity consists in adding an extra dimension to Einstein–Hilbert’s general relativity. Therefore, gravity would be the only force leaking through this region of space–time also known as brane. Despite the success of the mathematical description for the hierarchy issue through simple thin branes, it is also possible to derive a consistent theory of gravity using thick branes. This work unveils a new procedure to determine analytic hybrid thick braneworld models. The discussions were based on the so-called Bloch branes, which are constructed via a two-field model coupled with gravity in five-dimensional space–time. Both fields used to build the Bloch branes depend only on the extra dimension, and the hybrid branes present internal structure, characterizing them as thick. In this work, we were able to derive new analytic thick brane models by using the extension method. Some of these new branes present a Minkowski space–time immersed inside of the fifth dimension. We showed how the symmetry of the emergent branes can be controlled via specific parameters. We also analyzed the stability conditions for each braneworld family, showing possible stable states for gravitons.