Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866914430746361856 |
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| author | Guerra, André Lamy, Xavier Zemas, Konstantinos |
| author_facet | Guerra, André Lamy, Xavier Zemas, Konstantinos |
| contents | We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev--Skyrme energy in its homotopy class, provided that the radius of the target 2-sphere is not smaller than the radius of the domain 3-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant Guerra, André Lamy, Xavier Zemas, Konstantinos Analysis of PDEs Mathematical Physics 26D10, 30C70, 49Q20 We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev--Skyrme energy in its homotopy class, provided that the radius of the target 2-sphere is not smaller than the radius of the domain 3-sphere. |
| title | Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant |
| topic | Analysis of PDEs Mathematical Physics 26D10, 30C70, 49Q20 |
| url | https://arxiv.org/abs/2507.10686 |