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
- Institución
- Universidad Nacional de Córdoba
- OAI Identificador
- oai:rdu.unc.edu.ar:11086/20778
Ver los metadatos del registro completo
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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/openAccess2025-09-29T13:42:42Zoai: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:25722025-09-29 13:42:42.891Repositorio 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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1844618934315122688 |
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13.070432 |