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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• Phase transitions in thick branes endorsed by entropic information
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• D-Oscillons in the Standard Model-Extension
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Configurational entropy and spectroscopy of pomeron resonances in dynamical AdS/QCD
• Configurational Entropy as a tool to select a physical Thick Brane Model
• Predicting Atomic Decay Rates Using an Informational-Entropic Approach
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Cosmological scenarios from multiquintessence
• Two-field models in the presence of impurities
• Refinements of the Weyl pure geometrical thick branes from information-entropic measure
• Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories
• The importance of scalar fields as extradimensional metric components in Kaluza-Klein models
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• Asymmetric particle-antiparticle Dirac equation: first quantization
• Configurational entropy and the $N^{\ast }(1440)$ Roper resonance in QCD
• Analyzing lump-type solutions in scalar field models through configurational information measure
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• Higher-spin light-flavor baryonic spectroscopy in AdS/QCD at finite temperature