Multisolitons with vector mesons on the two-sphere

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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...

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Autores principales: Carrasco, Federico León, Reula, Oscar Alejandro
Formato: article
Lenguaje:Inglés
Publicado: 2021
Materias:
Skyrmiones
Sphere
Numerical simulations
Acceso en línea:http://hdl.handle.net/11086/20778
https://doi.org/10.1103/PhysRevD.90.045007
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-20778
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Skyrmiones
Sphere
Numerical simulations
spellingShingle Skyrmiones
Sphere
Numerical simulations
Carrasco, Federico León
Reula, Oscar Alejandro
Multisolitons with vector mesons on the two-sphere
topic_facet Skyrmiones
Sphere
Numerical simulations
description 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.
format article
author Carrasco, Federico León
Reula, Oscar Alejandro
author_facet Carrasco, Federico León
Reula, Oscar Alejandro
author_sort Carrasco, Federico León
title Multisolitons with vector mesons on the two-sphere
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
publishDate 2021
url http://hdl.handle.net/11086/20778
https://doi.org/10.1103/PhysRevD.90.045007
work_keys_str_mv AT carrascofedericoleon multisolitonswithvectormesonsonthetwosphere
AT reulaoscaralejandro multisolitonswithvectormesonsonthetwosphere
bdutipo_str Repositorios
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