JNR Skyrmions
Abstract The JNR ansatz provides a simple formula to obtain families of charge N self-dual SU(2) Yang-Mills instantons in four-dimensional Euclidean space, from the free data of N + 1 distinct points with associated positive weights. Here an analogous formula is presented for Skyrme fields in three-...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)054 |
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| _version_ | 1846112965428772864 |
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| author | Paul Sutcliffe |
| author_facet | Paul Sutcliffe |
| author_sort | Paul Sutcliffe |
| collection | DOAJ |
| description | Abstract The JNR ansatz provides a simple formula to obtain families of charge N self-dual SU(2) Yang-Mills instantons in four-dimensional Euclidean space, from the free data of N + 1 distinct points with associated positive weights. Here an analogous formula is presented for Skyrme fields in three-dimensional Euclidean space. These families of Skyrme fields include good approximations to a range of Skyrmions, with energies that are typically within a few percent of the numerically computed solutions. |
| format | Article |
| id | doaj-art-9d34a730b8d74287a13ff5d8f30aeec9 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9d34a730b8d74287a13ff5d8f30aeec92024-12-22T12:08:52ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241211310.1007/JHEP12(2024)054JNR SkyrmionsPaul Sutcliffe0Department of Mathematical Sciences, Durham UniversityAbstract The JNR ansatz provides a simple formula to obtain families of charge N self-dual SU(2) Yang-Mills instantons in four-dimensional Euclidean space, from the free data of N + 1 distinct points with associated positive weights. Here an analogous formula is presented for Skyrme fields in three-dimensional Euclidean space. These families of Skyrme fields include good approximations to a range of Skyrmions, with energies that are typically within a few percent of the numerically computed solutions.https://doi.org/10.1007/JHEP12(2024)054Solitons Monopoles and InstantonsSigma Models |
| spellingShingle | Paul Sutcliffe JNR Skyrmions Journal of High Energy Physics Solitons Monopoles and Instantons Sigma Models |
| title | JNR Skyrmions |
| title_full | JNR Skyrmions |
| title_fullStr | JNR Skyrmions |
| title_full_unstemmed | JNR Skyrmions |
| title_short | JNR Skyrmions |
| title_sort | jnr skyrmions |
| topic | Solitons Monopoles and Instantons Sigma Models |
| url | https://doi.org/10.1007/JHEP12(2024)054 |
| work_keys_str_mv | AT paulsutcliffe jnrskyrmions |