Yang-Mills instanton on a four dimensional wormhole: asymptotic stability in the energy space
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909912090542080 |
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| author | Kowalczyk, Michał Monreal, Javier |
| author_facet | Kowalczyk, Michał Monreal, Javier |
| contents | In this paper we consider an $SU(2)$ Yang-Mills field propagating in the $4+1$ dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This equation posses a degree one solution (instanton) which is odd in space. We consider small, odd perturbations of the instanton and show that it is conditionally asymptotically stable in the odd energy space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Yang-Mills instanton on a four dimensional wormhole: asymptotic stability in the energy space Kowalczyk, Michał Monreal, Javier Analysis of PDEs In this paper we consider an $SU(2)$ Yang-Mills field propagating in the $4+1$ dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This equation posses a degree one solution (instanton) which is odd in space. We consider small, odd perturbations of the instanton and show that it is conditionally asymptotically stable in the odd energy space. |
| title | Yang-Mills instanton on a four dimensional wormhole: asymptotic stability in the energy space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.14880 |