A Nahm transform for rotating calorons
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910177936015360 |
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| author | Cork, Josh Harland, Derek |
| author_facet | Cork, Josh Harland, Derek |
| contents | Rotating calorons were introduced in the context of rotating quark-gluon plasmas. They are anti-self-dual gauge fields on $\mathbb{R}^4$ that are invariant under a glide rotation. We formulate a Nahm transform which identifies rotating calorons with solutions of a delayed-differential equation. Using this transform, we prove existence of an eight-parameter family of charge 1 rotating calorons with nontrivial holonomy and rotational angle $π$, which we construct and visualise using a numerical implementation of the Nahm transform. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_27184 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Nahm transform for rotating calorons Cork, Josh Harland, Derek High Energy Physics - Theory Mathematical Physics Differential Geometry 53C07, 81T13 Rotating calorons were introduced in the context of rotating quark-gluon plasmas. They are anti-self-dual gauge fields on $\mathbb{R}^4$ that are invariant under a glide rotation. We formulate a Nahm transform which identifies rotating calorons with solutions of a delayed-differential equation. Using this transform, we prove existence of an eight-parameter family of charge 1 rotating calorons with nontrivial holonomy and rotational angle $π$, which we construct and visualise using a numerical implementation of the Nahm transform. |
| title | A Nahm transform for rotating calorons |
| topic | High Energy Physics - Theory Mathematical Physics Differential Geometry 53C07, 81T13 |
| url | https://arxiv.org/abs/2604.27184 |