Analyzing lump-type solutions in scalar field models through configurational information measure

TL;DR

This paper uses the differential configurational complexity measure to analyze and distinguish lump-type solutions in scalar field models, revealing correlations between informational content and energy configurations.

Contribution

It introduces the application of DCC to scalar field solutions, providing a new informational perspective that complements energy-based analyses.

Findings

DCC correlates with the energy of solutions

DCC distinguishes different lump solutions

Informational metrics enhance understanding of scalar field models

Abstract

In this paper we employ a configurational information measure, specifically the differential configurational complexity (DCC), to quantify the information content of lump-type solutions in various scalar field models, including two modified inverted $\phi^{4}$ models, the modified $\phi^{3}$ model, as well as two additional families of lump models. Our objective is to complement previous studies by providing an informational perspective that distinguishes different solutions based on their energy configurations. We explore how the DCC measure relates to energy and its applicability in analyzing degenerate states. Our findings indicate that DCC effectively correlates with the energy parameters of the solutions, offering significant insights into their informational properties. This study underscores the value of using informational metrics like DCC to deepen our understanding of the structural and dynamic characteristics of complex systems in theoretical physics.