Near-BPS baby Skyrmions
Abstract We consider the baby-Skyrme model in the regime close to the so-called restricted baby-Skyrme model, which is a BPS model with area-preserving diffeomorphism invariance. The perturbation takes the form of the standard kinetic Dirichlet term with a small coefficient ϵ. Classical solutions of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2020)062 |
| _version_ | 1818550828892422144 |
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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 the regime close to the so-called restricted baby-Skyrme model, which is a BPS model with area-preserving diffeomorphism invariance. The perturbation takes the form of the standard kinetic Dirichlet term with a small coefficient ϵ. Classical solutions of this model, to leading order in ϵ, are called restricted harmonic maps. In the BPS limit (ϵ → 0) of the model with the potential being the standard pion-mass term, the solution with unit topological charge is a compacton. Using analytical and numerical arguments we obtain solutions to the problem for topological sectors greater than one. We develop a perturbative scheme in ϵ with which we can calculate the corrections to the BPS mass. The leading order ( O ϵ 1 $$ \mathcal{O}\left({\upepsilon}^1\right) $$ ) corrections show that the baby Skyrmion with topological charge two is energetically preferred. The binding energy requires us to go to the third order in ϵ to capture the relevant terms in perturbation theory, however, the binding energy contributes to the total energy at order ϵ 2. We find that the baby Skyrmions — in the near-BPS regime — are compactons of topological charge two, that touch each other on their periphery at a single point and with orientations in the attractive channel. |
| first_indexed | 2024-12-12T08:51:43Z |
| format | Article |
| id | doaj.art-3106ebc4fefc4e46b1361450a9a9860b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T08:51:43Z |
| publishDate | 2020-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3106ebc4fefc4e46b1361450a9a9860b2022-12-22T00:30:10ZengSpringerOpenJournal of High Energy Physics1029-84792020-11-0120201115610.1007/JHEP11(2020)062Near-BPS baby SkyrmionsSven Bjarke Gudnason0Marco Barsanti1Stefano Bolognesi2Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan UniversityDepartment of Physics “E. Fermi”, University of PisaDepartment of Physics “E. Fermi”, University of PisaAbstract We consider the baby-Skyrme model in the regime close to the so-called restricted baby-Skyrme model, which is a BPS model with area-preserving diffeomorphism invariance. The perturbation takes the form of the standard kinetic Dirichlet term with a small coefficient ϵ. Classical solutions of this model, to leading order in ϵ, are called restricted harmonic maps. In the BPS limit (ϵ → 0) of the model with the potential being the standard pion-mass term, the solution with unit topological charge is a compacton. Using analytical and numerical arguments we obtain solutions to the problem for topological sectors greater than one. We develop a perturbative scheme in ϵ with which we can calculate the corrections to the BPS mass. The leading order ( O ϵ 1 $$ \mathcal{O}\left({\upepsilon}^1\right) $$ ) corrections show that the baby Skyrmion with topological charge two is energetically preferred. The binding energy requires us to go to the third order in ϵ to capture the relevant terms in perturbation theory, however, the binding energy contributes to the total energy at order ϵ 2. We find that the baby Skyrmions — in the near-BPS regime — are compactons of topological charge two, that touch each other on their periphery at a single point and with orientations in the attractive channel.http://link.springer.com/article/10.1007/JHEP11(2020)062Solitons Monopoles and InstantonsField Theories in Lower Dimensions |
| spellingShingle | Sven Bjarke Gudnason Marco Barsanti Stefano Bolognesi Near-BPS baby Skyrmions Journal of High Energy Physics Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| title | Near-BPS baby Skyrmions |
| title_full | Near-BPS baby Skyrmions |
| title_fullStr | Near-BPS baby Skyrmions |
| title_full_unstemmed | Near-BPS baby Skyrmions |
| title_short | Near-BPS baby Skyrmions |
| title_sort | near bps baby skyrmions |
| topic | Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| url | http://link.springer.com/article/10.1007/JHEP11(2020)062 |
| work_keys_str_mv | AT svenbjarkegudnason nearbpsbabyskyrmions AT marcobarsanti nearbpsbabyskyrmions AT stefanobolognesi nearbpsbabyskyrmions |