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Information-entropic measure of energy-degenerate kinks in two-field models. (English) Zbl 1317.81217

Summary: 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.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
94A17 Measures of information, entropy

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