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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Format: | Article |
Language: | English |
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SpringerOpen
2021-05-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-22T10:55:00Z |
format | Article |
id | doaj.art-37b55c679463403e9e7a80da07b46d07 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-22T10:55:00Z |
publishDate | 2021-05-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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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