Configurational entropy as a tool to select a physical thick brane model

Abstract

We analise braneworld scenarios via a configurational entropy (CE) formalism.Braneworld scenarios have drawn attention mainly due to the fact that they can explain the hierarchy problem and unify the fundamental forces through a symmetry breaking procedure. Those scenarios localize matter in a (3 + 1) hypersurface, the brane, which is inserted in a higher dimensional space, the bulk. Novel analytical braneworld models, in which the warp factor depends on a free parameter n, were recently released in the literature. In this article we will provide a way to constrain this parameter through the relation between information and dynamics of a system described by the CE. We demonstrate that in some cases the CE is an important tool in order to provide the most probable physical system among all the possibilities.In addition, we show that the highest CE is correlated to a tachyonic sector of the configuration, where the solutions for the corresponding model are dynamically unstable.

Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds

“…In the present paper, we focus on recent application of CIMs to braneworld models [13,[15][16][17][18][19]. In fact, the CE has been shown to be useful for determining stable parameters on brane models with a single scalar field configuration, as in the case of F (R) brane models [13], the Bloch brane [15], Weyl's brane [16], string-like models [17], braneworld scenarios from deformed defect chains [18], and the (single) sine-Gordon model [19].…”

“…In the present paper, we focus on recent application of CIMs to braneworld models [13,[15][16][17][18][19]. In fact, the CE has been shown to be useful for determining stable parameters on brane models with a single scalar field configuration, as in the case of F (R) brane models [13], the Bloch brane [15], Weyl's brane [16], string-like models [17], braneworld scenarios from deformed defect chains [18], and the (single) sine-Gordon model [19]. As another interesting feature, the CE also determines where phase transitions occur in the double-kinks models [15,16], as in the case of some degenerate branes [15].…”

Thick branes with inner structure in mimetic gravity

“…For more recent work on thick brane see Refs. [40][41][42][43][44][45][46][47][48][49][50] or [51] for a review.…”

Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model

“…[46,[49][50][51]. It is important to mention that this quantity has been studied intensively in several cosmological scenarios [52][53][54] . With this in mind, we propose to study of the DCC to understand the structures of vortex and the possible existence of phase transition of the model discussed above.…”