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
Fil: Carrasco, Federico León. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme model and those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We have found almost identical solutions considering an alternative two-dimensional model in which a vector meson field is introduced and coupled to the system, instead of the usual Skyrme term. It has been known that including this vector meson field in three dimensions stabilizes the nonlinear sigma model without the need for a term that is quartic on derivatives of the pion fields (Skyrme term). The resulting model has proven to share many of the features that the usual Skyrme theory has, but with a better mathematical formulation in terms of the well posedness of its evolution equations. In the present work, we have numerically searched for static multisolitonic solutions of this alternative stabilization, for the case in which the base space is a two-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fully dynamical setting. We have also considered the inclusion of a particular potential term in the Lagrangian and 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.
publishedVersion
Fil: Carrasco, Federico León. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Física de Partículas y Campos
Fuente
ISSN 1550-7998
Materia
Skyrmiones
Sphere
Numerical simulations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Repositorio
Repositorio Digital Universitario (UNC)
Institución
Universidad Nacional de Córdoba
OAI Identificador
oai:rdu.unc.edu.ar:11086/20778
Acceder
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oai_identifier_str oai:rdu.unc.edu.ar:11086/20778
network_acronym_str RDUUNC
repository_id_str 2572
network_name_str Repositorio Digital Universitario (UNC)
spelling Multisolitons with vector mesons on the two-sphereCarrasco, Federico LeónReula, Oscar AlejandroSkyrmionesSphereNumerical simulationsFil: Carrasco, Federico León. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme model and those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We have found almost identical solutions considering an alternative two-dimensional model in which a vector meson field is introduced and coupled to the system, instead of the usual Skyrme term. It has been known that including this vector meson field in three dimensions stabilizes the nonlinear sigma model without the need for a term that is quartic on derivatives of the pion fields (Skyrme term). The resulting model has proven to share many of the features that the usual Skyrme theory has, but with a better mathematical formulation in terms of the well posedness of its evolution equations. In the present work, we have numerically searched for static multisolitonic solutions of this alternative stabilization, for the case in which the base space is a two-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fully dynamical setting. We have also considered the inclusion of a particular potential term in the Lagrangian and 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.publishedVersionFil: Carrasco, Federico León. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.Física de Partículas y Campos2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfCarrasco, F. L. y Reula, O. A. (2014). Multisolitons with vector mesons on the two-sphere. Physical Review D, 90 (4), 045007. https://doi.org/10.1103/PhysRevD.90.045007http://hdl.handle.net/11086/20778https://doi.org/10.1103/PhysRevD.90.045007ISSN 1550-7998reponame:Repositorio Digital Universitario (UNC)instname:Universidad Nacional de Córdobainstacron:UNCenginfo:eu-repo/semantics/openAccess2025-10-23T11:17:05Zoai:rdu.unc.edu.ar:11086/20778Institucionalhttps://rdu.unc.edu.ar/Universidad públicaNo correspondehttp://rdu.unc.edu.ar/oai/snrdoca.unc@gmail.comArgentinaNo correspondeNo correspondeNo correspondeopendoar:25722025-10-23 11:17:05.598Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdobafalse
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
Skyrmiones
Sphere
Numerical simulations
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 Skyrmiones
Sphere
Numerical simulations
topic Skyrmiones
Sphere
Numerical simulations
dc.description.none.fl_txt_mv Fil: Carrasco, Federico León. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Recent studies have suggested a strong connection between the static solutions of the 3D Skyrme model and those corresponding to its low-dimensional analog (baby-Skyrme model) on a two-sphere. We have found almost identical solutions considering an alternative two-dimensional model in which a vector meson field is introduced and coupled to the system, instead of the usual Skyrme term. It has been known that including this vector meson field in three dimensions stabilizes the nonlinear sigma model without the need for a term that is quartic on derivatives of the pion fields (Skyrme term). The resulting model has proven to share many of the features that the usual Skyrme theory has, but with a better mathematical formulation in terms of the well posedness of its evolution equations. In the present work, we have numerically searched for static multisolitonic solutions of this alternative stabilization, for the case in which the base space is a two-sphere. Moreover, we analyze the stability of these solutions under small perturbations in a fully dynamical setting. We have also considered the inclusion of a particular potential term in the Lagrangian and 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.
publishedVersion
Fil: Carrasco, Federico León. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Carrasco, Federico León. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Fil: Reula, Oscar Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Reula, Oscar Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Física de Partículas y Campos
description Fil: Carrasco, Federico León. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
publishDate 2014
dc.date.none.fl_str_mv 2014
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 Carrasco, F. L. y Reula, O. A. (2014). Multisolitons with vector mesons on the two-sphere. Physical Review D, 90 (4), 045007. https://doi.org/10.1103/PhysRevD.90.045007
http://hdl.handle.net/11086/20778
https://doi.org/10.1103/PhysRevD.90.045007
identifier_str_mv Carrasco, F. L. y Reula, O. A. (2014). Multisolitons with vector mesons on the two-sphere. Physical Review D, 90 (4), 045007. https://doi.org/10.1103/PhysRevD.90.045007
url http://hdl.handle.net/11086/20778
https://doi.org/10.1103/PhysRevD.90.045007
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv ISSN 1550-7998
reponame:Repositorio Digital Universitario (UNC)
instname:Universidad Nacional de Córdoba
instacron:UNC
reponame_str Repositorio Digital Universitario (UNC)
collection Repositorio Digital Universitario (UNC)
instname_str Universidad Nacional de Córdoba
instacron_str UNC
institution UNC
repository.name.fl_str_mv Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdoba
repository.mail.fl_str_mv oca.unc@gmail.com
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score 12.982451

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