Differential configurational entropy for multi-field of the $\phi^6$ theory

TL;DR

This paper explores the topological structures of a multi-field $^6$ theory, analyzing BPS solutions and their differential configurational entropy to identify the most probable configurations.

Contribution

It introduces the application of differential configurational entropy to BPS solutions in a multi-field $^6$ theory, providing new insights into the stability of topological structures.

Findings

DCE identifies the most probable topological configurations.

BPS energy density analysis reveals stable solutions.

Multi-field $^6$ theory supports complex kink structures.

Abstract

The topological structures of a $\phi^6$ theory with multi-field are studied. The $\phi^6$ theory is interesting because it is a theory that allows the shrinkage of topological structures generating double-kink or even multi-kink configurations. In this work, we consider and study the solutions of a two real scalar fields model. To reach our purpose, we investigate the BPS properties of the fields using the approach proposed by Bogomol'nyi-Prasad-Sommerfield. Using the BPS energy density, the differential configurational entropy (DCE) of the BPS structures is studied. The result of the DCE indicates the most likely field configuration of one of the topological sectors of the model.