Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance
- Autores
- Rodolfo Casana; Sourrouille, Lucas
- Año de publicación
- 2016
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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, ω 1 (| φ |) and ω (| φ |), which split the kinetic term of the Higgs field, | D μ φ | 2 → ω 1 (| φ |) | D 0 φ | 2 - ω (| φ |) | D k φ | 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 | 2 β - 2 with β ≥ 1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function ω 1 (| 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.
Fil: Rodolfo Casana. Universidade Federal do Maranhão; Brasil
Fil: Sourrouille, Lucas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina. Universidad Nacional Arturo Jauretche; Argentina - Materia
-
Soluciones Solitónicas
Teorías de gauge de Chern-Simons
Teorías generalizadas - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/85823
Ver los metadatos del registro completo
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Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz CovarianceRodolfo CasanaSourrouille, LucasSoluciones SolitónicasTeorías de gauge de Chern-SimonsTeorías generalizadashttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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, ω 1 (| φ |) and ω (| φ |), which split the kinetic term of the Higgs field, | D μ φ | 2 → ω 1 (| φ |) | D 0 φ | 2 - ω (| φ |) | D k φ | 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 | 2 β - 2 with β ≥ 1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function ω 1 (| 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.Fil: Rodolfo Casana. Universidade Federal do Maranhão; BrasilFil: Sourrouille, Lucas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina. Universidad Nacional Arturo Jauretche; ArgentinaHindawi Publishing Corporation2016-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/85823Rodolfo Casana; Sourrouille, Lucas; Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance; Hindawi Publishing Corporation; Advances in High Energy Physics; 2016; 7-2016; 1-81687-73571687-7365CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/ahep/2016/5315649/cta/info:eu-repo/semantics/altIdentifier/doi/10.1155/2016/5315649info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:52:14Zoai:ri.conicet.gov.ar:11336/85823instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:52:14.583CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance |
title |
Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance |
spellingShingle |
Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance Rodolfo Casana Soluciones Solitónicas Teorías de gauge de Chern-Simons Teorías generalizadas |
title_short |
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_sort |
Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance |
dc.creator.none.fl_str_mv |
Rodolfo Casana Sourrouille, Lucas |
author |
Rodolfo Casana |
author_facet |
Rodolfo Casana Sourrouille, Lucas |
author_role |
author |
author2 |
Sourrouille, Lucas |
author2_role |
author |
dc.subject.none.fl_str_mv |
Soluciones Solitónicas Teorías de gauge de Chern-Simons Teorías generalizadas |
topic |
Soluciones Solitónicas Teorías de gauge de Chern-Simons Teorías generalizadas |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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, ω 1 (| φ |) and ω (| φ |), which split the kinetic term of the Higgs field, | D μ φ | 2 → ω 1 (| φ |) | D 0 φ | 2 - ω (| φ |) | D k φ | 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 | 2 β - 2 with β ≥ 1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function ω 1 (| 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. Fil: Rodolfo Casana. Universidade Federal do Maranhão; Brasil Fil: Sourrouille, Lucas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina. Universidad Nacional Arturo Jauretche; Argentina |
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, ω 1 (| φ |) and ω (| φ |), which split the kinetic term of the Higgs field, | D μ φ | 2 → ω 1 (| φ |) | D 0 φ | 2 - ω (| φ |) | D k φ | 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 | 2 β - 2 with β ≥ 1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function ω 1 (| 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. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-07 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/85823 Rodolfo Casana; Sourrouille, Lucas; Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance; Hindawi Publishing Corporation; Advances in High Energy Physics; 2016; 7-2016; 1-8 1687-7357 1687-7365 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/85823 |
identifier_str_mv |
Rodolfo Casana; Sourrouille, Lucas; Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance; Hindawi Publishing Corporation; Advances in High Energy Physics; 2016; 7-2016; 1-8 1687-7357 1687-7365 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/ahep/2016/5315649/cta/ info:eu-repo/semantics/altIdentifier/doi/10.1155/2016/5315649 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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score |
13.13397 |