skip to main content

SciTech ConnectSciTech Connect

Title: Entropic information for travelling solitons in Lorentz and CPT breaking systems

In this work we group four research topics apparently disconnected, namely solitons, Lorentz symmetry breaking, supersymmetry, and entropy. Following a recent work (Gleiser and Stamatopoulos, 2012), 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 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 arbitrary. In this case, the CE selects the best value of the parameter in themore » model.« less
Authors:
 [1] ;  [2] ;  [3]
  1. CCNH, Universidade Federal do ABC, 09210-580, Santo André, SP (Brazil)
  2. CMCC, Universidade Federal do ABC, 09210-580, Santo André, SP (Brazil)
  3. UNESP-Campus de Guaratinguetá, 12516-410, Guaratinguetá, SP (Brazil)
Publication Date:
OSTI Identifier:
22451201
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 359; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CPT THEOREM; ENTROPY; EXACT SOLUTIONS; SKYRME POTENTIAL; SUPERSTRING MODELS; SUPERSYMMETRY; SYMMETRY BREAKING