A Skyrme Model with Novel Chiral Symmetry Breaking
An extension of the Skyrme model is presented in which derivative terms are added that break chiral symmetry to isospin symmetry. The theory contains just one new parameter, and it reduces to the standard Skyrme model when this symmetry-breaking parameter vanishes. The same Faddeev-Bogomolny energy...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2023 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211980 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Skyrme Model with Novel Chiral Symmetry Breaking. Paul Sutcliffe. SIGMA 19 (2023), 051, 8 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862687015496056832 |
|---|---|
| author | Sutcliffe, Paul |
| author_facet | Sutcliffe, Paul |
| citation_txt | A Skyrme Model with Novel Chiral Symmetry Breaking. Paul Sutcliffe. SIGMA 19 (2023), 051, 8 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | An extension of the Skyrme model is presented in which derivative terms are added that break chiral symmetry to isospin symmetry. The theory contains just one new parameter, and it reduces to the standard Skyrme model when this symmetry-breaking parameter vanishes. The same Faddeev-Bogomolny energy bound applies for all parameter values, but the parameter can be tuned so that the energy of the single Skyrmion is much closer to the bound than in the standard Skyrme model. Applying the rational map approximation to multi-Skyrmions suggests that, for a suitable value of the symmetry-breaking parameter, binding energies in this theory may be significantly more realistic than in the standard Skyrme model.
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| first_indexed | 2026-03-17T13:21:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211980 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-17T13:21:09Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sutcliffe, Paul 2026-01-20T16:14:05Z 2023 A Skyrme Model with Novel Chiral Symmetry Breaking. Paul Sutcliffe. SIGMA 19 (2023), 051, 8 pages 1815-0659 2020 Mathematics Subject Classification: 35C08; 35Q51 arXiv:2301.03021 https://nasplib.isofts.kiev.ua/handle/123456789/211980 https://doi.org/10.3842/SIGMA.2023.051 An extension of the Skyrme model is presented in which derivative terms are added that break chiral symmetry to isospin symmetry. The theory contains just one new parameter, and it reduces to the standard Skyrme model when this symmetry-breaking parameter vanishes. The same Faddeev-Bogomolny energy bound applies for all parameter values, but the parameter can be tuned so that the energy of the single Skyrmion is much closer to the bound than in the standard Skyrme model. Applying the rational map approximation to multi-Skyrmions suggests that, for a suitable value of the symmetry-breaking parameter, binding energies in this theory may be significantly more realistic than in the standard Skyrme model. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Skyrme Model with Novel Chiral Symmetry Breaking Article published earlier |
| spellingShingle | A Skyrme Model with Novel Chiral Symmetry Breaking Sutcliffe, Paul |
| title | A Skyrme Model with Novel Chiral Symmetry Breaking |
| title_full | A Skyrme Model with Novel Chiral Symmetry Breaking |
| title_fullStr | A Skyrme Model with Novel Chiral Symmetry Breaking |
| title_full_unstemmed | A Skyrme Model with Novel Chiral Symmetry Breaking |
| title_short | A Skyrme Model with Novel Chiral Symmetry Breaking |
| title_sort | skyrme model with novel chiral symmetry breaking |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211980 |
| work_keys_str_mv | AT sutcliffepaul askyrmemodelwithnovelchiralsymmetrybreaking AT sutcliffepaul skyrmemodelwithnovelchiralsymmetrybreaking |