Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems

Abstract

In this work we group three research topics apparently disconnected, namely solitons, Lorentz symmetry breaking and entropy. Following a recent work [Phys. Lett. B 713 (2012) 304], we show that it is possible to construct in the context of travelling wave solutions a configurational entropy measure in functional space, from the field configurations. Thus, we investigate the existence and properties of travelling solitons in Lorentz and CPT breaking scenarios for a class of models with two interacting scalar fields. Here, we obtain a complete set of exact solutions for the model studied which display both double and single-kink configurations. In fact, such models are very important in applications that include Bloch branes, Skyrmions, Yang-Mills, Q-balls, oscillons and various superstring-motivated theories. We find that the so-called Configurational Entropy (CE) for travelling solitons, which we name as travelling Configurational Entropy (TCE), shows that the best value of parameter responsible to break the Lorentz symmetry is one where the energy density is distributed equally around the origin. In this way, the information-theoretical measure of travelling solitons in Lorentz symmetry violation scenarios opens a new window to probe situations where the parameters responsible for breaking the symmetries are random. In this case, the TCE selects the best value.

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• Conditional entropy of glueball states
• The nuclear configurational entropy impact parameter dependence in the Color-Glass Condensate
• Information-entropic analysis of Korteweg--de Vries solitons in the quark-gluon plasma
• Differential configurational entropy and the gravitational collapse of a kink
• D-Oscillons in the Standard Model-Extension
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Two-field models in the presence of impurities
• Configurational entropy and the $N^{\ast }(1440)$ Roper resonance in QCD
• Asymmetric particle-antiparticle Dirac equation: first quantization
• Analyzing lump-type solutions in scalar field models through configurational information measure
• Higher-spin light-flavor baryonic spectroscopy in AdS/QCD at finite temperature
• Deformed AdS/QCD, mesonic mass spectra, and DCE: Still a margin for heavier resonances