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arXiv · 1409.0029

Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field Models

R. A. C. Correa·A. de Souza Dutra·M. Gleiser
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Abstract

We investigate the existence and properties of kink-like solitons in a class of models with two interacting scalar fields. In particular, we focus on models that display both double and single-kink solutions, treatable analytically using the Bogomol'nyi--Prasad--Sommerfield bound (BPS). Such models are of interest in applications that include Skyrmions and various superstring-motivated theories. Exploring a region of parameter space where the energy for very different spatially-bound configurations is degenerate, we show that a newly-proposed momentum-space entropic measure called Configurational Entropy (CE) can distinguish between such energy-degenerate spatial profiles. This information-theoretic measure of spatial complexity provides a complementary perspective to situations where strictly energy-based arguments are inconclusive.

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R. A. C. Correa, A. de Souza Dutra, M. Gleiser. 2014-08-29. Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field Models. https://doi.org/10.1016/j.physletb.2014.09.002

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