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.

References in corpus (9)

• Information Content of Spontaneous Symmetry Breaking
• Dynamical holographic QCD with area-law confinement and linear Regge trajectories
• Configurational entropy of anti-de Sitter black holes
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• The nuclear configurational entropy impact parameter dependence in the Color-Glass Condensate
• Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field Models
• Configurational entropy of charged AdS black holes
• Phase transitions in thick branes endorsed by entropic information
• Cyclically deformed defects and topological mass constraints

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