Near-BPS baby Skyrmions with Gaussian tails

Abstract We consider the baby Skyrme model in a physically motivated limit of reaching the restricted or BPS baby Skyrme model, which is a model that enjoys area-preserving diffeomorphism invariance. The perturbation consists of the kinetic Dirichlet term with a small coefficient ϵ as well as the st...

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Main Authors: Sven Bjarke Gudnason, Marco Barsanti, Stefano Bolognesi
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2021)134
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author Sven Bjarke Gudnason
Marco Barsanti
Stefano Bolognesi
author_facet Sven Bjarke Gudnason
Marco Barsanti
Stefano Bolognesi
author_sort Sven Bjarke Gudnason
collection DOAJ
description Abstract We consider the baby Skyrme model in a physically motivated limit of reaching the restricted or BPS baby Skyrme model, which is a model that enjoys area-preserving diffeomorphism invariance. The perturbation consists of the kinetic Dirichlet term with a small coefficient ϵ as well as the standard pion mass term, with coefficient ϵ m 1 2 $$ \upepsilon {m}_1^2 $$ . The pions remain lighter than the soliton for any ϵ and therefore the model is physically acceptable, even in the ϵ → 0 limit. The version of the BPS baby Skyrme model we use has BPS solutions with Gaussian tails. We perform full numerical computations in the ϵ → 0 limit and even reach the strict ϵ = 0 case, finding new nontrivial BPS solutions, for which we do not yet know the analytic form.
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spelling doaj.art-37b55c679463403e9e7a80da07b46d072022-12-21T18:28:39ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021514810.1007/JHEP05(2021)134Near-BPS baby Skyrmions with Gaussian tailsSven Bjarke Gudnason0Marco Barsanti1Stefano Bolognesi2Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan UniversityDepartment of Physics “E. Fermi”, University of Pisa and INFN, Sezione di PisaDepartment of Physics “E. Fermi”, University of Pisa and INFN, Sezione di PisaAbstract We consider the baby Skyrme model in a physically motivated limit of reaching the restricted or BPS baby Skyrme model, which is a model that enjoys area-preserving diffeomorphism invariance. The perturbation consists of the kinetic Dirichlet term with a small coefficient ϵ as well as the standard pion mass term, with coefficient ϵ m 1 2 $$ \upepsilon {m}_1^2 $$ . The pions remain lighter than the soliton for any ϵ and therefore the model is physically acceptable, even in the ϵ → 0 limit. The version of the BPS baby Skyrme model we use has BPS solutions with Gaussian tails. We perform full numerical computations in the ϵ → 0 limit and even reach the strict ϵ = 0 case, finding new nontrivial BPS solutions, for which we do not yet know the analytic form.https://doi.org/10.1007/JHEP05(2021)134Solitons Monopoles and InstantonsField Theories in Lower Dimensions
spellingShingle Sven Bjarke Gudnason
Marco Barsanti
Stefano Bolognesi
Near-BPS baby Skyrmions with Gaussian tails
Journal of High Energy Physics
Solitons Monopoles and Instantons
Field Theories in Lower Dimensions
title Near-BPS baby Skyrmions with Gaussian tails
title_full Near-BPS baby Skyrmions with Gaussian tails
title_fullStr Near-BPS baby Skyrmions with Gaussian tails
title_full_unstemmed Near-BPS baby Skyrmions with Gaussian tails
title_short Near-BPS baby Skyrmions with Gaussian tails
title_sort near bps baby skyrmions with gaussian tails
topic Solitons Monopoles and Instantons
Field Theories in Lower Dimensions
url https://doi.org/10.1007/JHEP05(2021)134
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AT stefanobolognesi nearbpsbabyskyrmionswithgaussiantails