Multisolitons with vector mesons on the two-sphere

Autores
Carrasco, Federico León; Reula, Oscar Alejandro
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme modeland those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We havefound almost identical solutions considering an alternative two-dimensional model in which a vector mesonfield is introduced and coupled to the system, instead of the usual Skyrme term. It has been known thatincluding this vector meson field in three dimensions stabilizes the nonlinear sigma model without the needfor a term that is quartic on derivatives of the pion fields (Skyrme term). The resulting model has proven toshare many of the features that the usual Skyrme theory has, but with a better mathematical formulation interms of the well posedness of its evolution equations. In the present work, we have numerically searchedfor static multisolitonic solutions of this alternative stabilization, for the case in which the base space is atwo-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fullydynamical setting. We have also considered the inclusion of a particular potential term in the Lagrangianand explored the low- and high-density phases of solitons for different ranges of the parameter space,achieving solitons localized enough, which allows for a comparison with planar (two-dimensional) studies.
Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Materia
SKYRMIONS
TOPOLOGICAL SOLITONS
NUMERICAL SIMULATION
VECTOR MESONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/31825
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Multisolitons with vector mesons on the two-sphereCarrasco, Federico LeónReula, Oscar AlejandroSKYRMIONSTOPOLOGICAL SOLITONSNUMERICAL SIMULATIONVECTOR MESONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme modeland those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We havefound almost identical solutions considering an alternative two-dimensional model in which a vector mesonfield is introduced and coupled to the system, instead of the usual Skyrme term. It has been known thatincluding this vector meson field in three dimensions stabilizes the nonlinear sigma model without the needfor a term that is quartic on derivatives of the pion fields (Skyrme term). The resulting model has proven toshare many of the features that the usual Skyrme theory has, but with a better mathematical formulation interms of the well posedness of its evolution equations. In the present work, we have numerically searchedfor static multisolitonic solutions of this alternative stabilization, for the case in which the base space is atwo-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fullydynamical setting. We have also considered the inclusion of a particular potential term in the Lagrangianand explored the low- and high-density phases of solitons for different ranges of the parameter space,achieving solitons localized enough, which allows for a comparison with planar (two-dimensional) studies.Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaLancaster2014-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31825Reula, Oscar Alejandro; Carrasco, Federico León; Multisolitons with vector mesons on the two-sphere; Lancaster; Physical Review D; 90; 045007; 8-2014; 1-110556-2821CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.90.045007info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.045007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:43:42Zoai:ri.conicet.gov.ar:11336/31825instacron: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:34982025-10-22 11:43:42.692CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Multisolitons with vector mesons on the two-sphere
title Multisolitons with vector mesons on the two-sphere
spellingShingle Multisolitons with vector mesons on the two-sphere
Carrasco, Federico León
SKYRMIONS
TOPOLOGICAL SOLITONS
NUMERICAL SIMULATION
VECTOR MESONS
title_short Multisolitons with vector mesons on the two-sphere
title_full Multisolitons with vector mesons on the two-sphere
title_fullStr Multisolitons with vector mesons on the two-sphere
title_full_unstemmed Multisolitons with vector mesons on the two-sphere
title_sort Multisolitons with vector mesons on the two-sphere
dc.creator.none.fl_str_mv Carrasco, Federico León
Reula, Oscar Alejandro
author Carrasco, Federico León
author_facet Carrasco, Federico León
Reula, Oscar Alejandro
author_role author
author2 Reula, Oscar Alejandro
author2_role author
dc.subject.none.fl_str_mv SKYRMIONS
TOPOLOGICAL SOLITONS
NUMERICAL SIMULATION
VECTOR MESONS
topic SKYRMIONS
TOPOLOGICAL SOLITONS
NUMERICAL SIMULATION
VECTOR MESONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme modeland those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We havefound almost identical solutions considering an alternative two-dimensional model in which a vector mesonfield is introduced and coupled to the system, instead of the usual Skyrme term. It has been known thatincluding this vector meson field in three dimensions stabilizes the nonlinear sigma model without the needfor a term that is quartic on derivatives of the pion fields (Skyrme term). The resulting model has proven toshare many of the features that the usual Skyrme theory has, but with a better mathematical formulation interms of the well posedness of its evolution equations. In the present work, we have numerically searchedfor static multisolitonic solutions of this alternative stabilization, for the case in which the base space is atwo-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fullydynamical setting. We have also considered the inclusion of a particular potential term in the Lagrangianand explored the low- and high-density phases of solitons for different ranges of the parameter space,achieving solitons localized enough, which allows for a comparison with planar (two-dimensional) studies.
Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
description Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme modeland those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We havefound almost identical solutions considering an alternative two-dimensional model in which a vector mesonfield is introduced and coupled to the system, instead of the usual Skyrme term. It has been known thatincluding this vector meson field in three dimensions stabilizes the nonlinear sigma model without the needfor a term that is quartic on derivatives of the pion fields (Skyrme term). The resulting model has proven toshare many of the features that the usual Skyrme theory has, but with a better mathematical formulation interms of the well posedness of its evolution equations. In the present work, we have numerically searchedfor static multisolitonic solutions of this alternative stabilization, for the case in which the base space is atwo-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fullydynamical setting. We have also considered the inclusion of a particular potential term in the Lagrangianand explored the low- and high-density phases of solitons for different ranges of the parameter space,achieving solitons localized enough, which allows for a comparison with planar (two-dimensional) studies.
publishDate 2014
dc.date.none.fl_str_mv 2014-08
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/11336/31825
Reula, Oscar Alejandro; Carrasco, Federico León; Multisolitons with vector mesons on the two-sphere; Lancaster; Physical Review D; 90; 045007; 8-2014; 1-11
0556-2821
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31825
identifier_str_mv Reula, Oscar Alejandro; Carrasco, Federico León; Multisolitons with vector mesons on the two-sphere; Lancaster; Physical Review D; 90; 045007; 8-2014; 1-11
0556-2821
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.90.045007
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.045007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Lancaster
publisher.none.fl_str_mv Lancaster
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 12.982451

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