Solitons in the Gauged Skyrme-Maxwell Model
We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field brea...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2023 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211989 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Solitons in the Gauged Skyrme-Maxwell Model. Leandro Roza Livramento, Eugen Radu and Yakov Shnir. SIGMA 19 (2023), 042, 17 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862552356081631232 |
|---|---|
| author | Livramento, Leandro Roza Radu, Eugen Shnir, Yakov |
| author_facet | Livramento, Leandro Roza Radu, Eugen Shnir, Yakov |
| citation_txt | Solitons in the Gauged Skyrme-Maxwell Model. Leandro Roza Livramento, Eugen Radu and Yakov Shnir. SIGMA 19 (2023), 042, 17 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field breaks the symmetry of the configurations, the Skyrmions carrying both an electric charge and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also possess an angular momentum, which is quantized in units of the electric charge. The mass of the gauged Skyrmions monotonically decreases with the increase of the gauge coupling.
|
| first_indexed | 2026-03-13T04:58:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211989 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T04:58:24Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Livramento, Leandro Roza Radu, Eugen Shnir, Yakov 2026-01-20T16:14:52Z 2023 Solitons in the Gauged Skyrme-Maxwell Model. Leandro Roza Livramento, Eugen Radu and Yakov Shnir. SIGMA 19 (2023), 042, 17 pages 1815-0659 2020 Mathematics Subject Classification: 81R12; 81T10 arXiv:2301.12848 https://nasplib.isofts.kiev.ua/handle/123456789/211989 https://doi.org/10.3842/SIGMA.2023.042 We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field breaks the symmetry of the configurations, the Skyrmions carrying both an electric charge and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also possess an angular momentum, which is quantized in units of the electric charge. The mass of the gauged Skyrmions monotonically decreases with the increase of the gauge coupling. We are grateful to D.H. Tchrakian for inspiring and valuable discussions. The work of E.R. is supported by the Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT– Fundacão para a Ciência e a Tecnologia), references UIDB/04106/2020 and UIDP/04106/2020. E.R. also acknowledges support from the projects CERN/FIS-PAR/0027/2019, PTDC/FIS-AST/3041/2020, CERN/FIS-PAR/0024/2021, and 2022.04560.PTDC. This work has further been supported by the European Union’s Horizon 2020 research and innovation (RISE) programme H2020-MSCARISE-2017 Grant No. FunFiCO-777740 and by the European Horizon Europe staff exchange (SE) programme HORIZON-MSCA-2021-SE-01 Grant No. NewFunFiCO-101086251. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solitons in the Gauged Skyrme-Maxwell Model Article published earlier |
| spellingShingle | Solitons in the Gauged Skyrme-Maxwell Model Livramento, Leandro Roza Radu, Eugen Shnir, Yakov |
| title | Solitons in the Gauged Skyrme-Maxwell Model |
| title_full | Solitons in the Gauged Skyrme-Maxwell Model |
| title_fullStr | Solitons in the Gauged Skyrme-Maxwell Model |
| title_full_unstemmed | Solitons in the Gauged Skyrme-Maxwell Model |
| title_short | Solitons in the Gauged Skyrme-Maxwell Model |
| title_sort | solitons in the gauged skyrme-maxwell model |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211989 |
| work_keys_str_mv | AT livramentoleandroroza solitonsinthegaugedskyrmemaxwellmodel AT radueugen solitonsinthegaugedskyrmemaxwellmodel AT shniryakov solitonsinthegaugedskyrmemaxwellmodel |