$\mathbb{C}\mathrm{P}^2$ Skyrmion with Fermion Backreaction
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918238896521216 |
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| author | Amari, Yuki Sawado, Nobuyuki Yamamoto, Shintaro |
| author_facet | Amari, Yuki Sawado, Nobuyuki Yamamoto, Shintaro |
| contents | When fermions interact with a topological soliton, they localize on the soliton. In studies of such systems, solitons are often treated as fixed background fields, and the backreaction due to the fermion localization is usually neglected for simplicity. In this work, we investigate the backreaction of localized fermions on a $\mathbb{C}\mathrm{P}^2$ Skyrmion. We find that the Skyrmion profile deforms in response, becoming more concentrated around the localized fermions. We also discuss the possibility that this backreaction may play a role analogous to that of the potential term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07337 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathbb{C}\mathrm{P}^2$ Skyrmion with Fermion Backreaction Amari, Yuki Sawado, Nobuyuki Yamamoto, Shintaro High Energy Physics - Theory When fermions interact with a topological soliton, they localize on the soliton. In studies of such systems, solitons are often treated as fixed background fields, and the backreaction due to the fermion localization is usually neglected for simplicity. In this work, we investigate the backreaction of localized fermions on a $\mathbb{C}\mathrm{P}^2$ Skyrmion. We find that the Skyrmion profile deforms in response, becoming more concentrated around the localized fermions. We also discuss the possibility that this backreaction may play a role analogous to that of the potential term. |
| title | $\mathbb{C}\mathrm{P}^2$ Skyrmion with Fermion Backreaction |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.07337 |