Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance

We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions, ω1(|ϕ|) and ω(|ϕ|), which split the kinetic term of the Higgs field, |Dμϕ|2→ω1(|ϕ|)|D0ϕ|2-ω(|ϕ|)|Dkϕ|2, br...

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Main Authors: Rodolfo Casana, Lucas Sourrouille
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2016/5315649
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author Rodolfo Casana
Lucas Sourrouille
author_facet Rodolfo Casana
Lucas Sourrouille
author_sort Rodolfo Casana
collection DOAJ
description We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions, ω1(|ϕ|) and ω(|ϕ|), which split the kinetic term of the Higgs field, |Dμϕ|2→ω1(|ϕ|)|D0ϕ|2-ω(|ϕ|)|Dkϕ|2, breaking explicitly the Lorentz covariance. We have shown that a clean implementation of the Bogomolnyi procedure only can be implemented whether ω(|ϕ|)∝β|ϕ|2β-2 with β≥1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function ω1(|ϕ|) which must be able to provide a finite magnetic field. Also, we have shown that by properly choosing the generalizing functions it is possible to reproduce the Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs models. Finally, some new self-dual |ϕ|6-vortex solutions have been analyzed from both theoretical and numerical point of view.
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spelling doaj-art-53549851fa644bb8935e234f54bc59f42025-02-03T06:04:47ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/53156495315649Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz CovarianceRodolfo Casana0Lucas Sourrouille1Departamento de Física, Universidade Federal do Maranhão, 65080-805 São Luís, MA, BrazilUniversidad Nacional Arturo Jauretche, Florencio Varela, 1888 Buenos Aires, ArgentinaWe have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions, ω1(|ϕ|) and ω(|ϕ|), which split the kinetic term of the Higgs field, |Dμϕ|2→ω1(|ϕ|)|D0ϕ|2-ω(|ϕ|)|Dkϕ|2, breaking explicitly the Lorentz covariance. We have shown that a clean implementation of the Bogomolnyi procedure only can be implemented whether ω(|ϕ|)∝β|ϕ|2β-2 with β≥1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function ω1(|ϕ|) which must be able to provide a finite magnetic field. Also, we have shown that by properly choosing the generalizing functions it is possible to reproduce the Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs models. Finally, some new self-dual |ϕ|6-vortex solutions have been analyzed from both theoretical and numerical point of view.http://dx.doi.org/10.1155/2016/5315649
spellingShingle Rodolfo Casana
Lucas Sourrouille
Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance
Advances in High Energy Physics
title Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance
title_full Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance
title_fullStr Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance
title_full_unstemmed Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance
title_short Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance
title_sort self dual configurations in a generalized abelian chern simons higgs model with explicit breaking of the lorentz covariance
url http://dx.doi.org/10.1155/2016/5315649
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AT lucassourrouille selfdualconfigurationsinageneralizedabelianchernsimonshiggsmodelwithexplicitbreakingofthelorentzcovariance