Dyon Loops and Abelian Instantons
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910247886520320 |
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| author | Garcia, Isabel Garcia Kongsore, Marius Van Tilburg, Ken |
| author_facet | Garcia, Isabel Garcia Kongsore, Marius Van Tilburg, Ken |
| contents | We construct Abelian gauge field configurations that carry non-zero instanton number. Each such "Abelian instanton" is generated by a closed magnetic worldline in four-dimensional Euclidean space, provided the Abelian gauge field has non-trivial winding along the closed worldline. The resulting field configuration corresponds to a Euclidean dyon loop featuring non-zero instanton number. We embed these dyon loops in a UV-complete theory using the Georgi-Glashow model and show that the full instanton charge is borne entirely by the unbroken $U(1)$ sector. In this same model, using a numerical relaxation procedure, we show that Euclidean dyon loops are a continuous deformation of small BPST instantons. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_14867 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dyon Loops and Abelian Instantons Garcia, Isabel Garcia Kongsore, Marius Van Tilburg, Ken High Energy Physics - Theory High Energy Physics - Phenomenology We construct Abelian gauge field configurations that carry non-zero instanton number. Each such "Abelian instanton" is generated by a closed magnetic worldline in four-dimensional Euclidean space, provided the Abelian gauge field has non-trivial winding along the closed worldline. The resulting field configuration corresponds to a Euclidean dyon loop featuring non-zero instanton number. We embed these dyon loops in a UV-complete theory using the Georgi-Glashow model and show that the full instanton charge is borne entirely by the unbroken $U(1)$ sector. In this same model, using a numerical relaxation procedure, we show that Euclidean dyon loops are a continuous deformation of small BPST instantons. |
| title | Dyon Loops and Abelian Instantons |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.14867 |