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arXiv · 2604.27184

A Nahm transform for rotating calorons

Josh Cork·Derek Harland
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Abstract

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 $\pi$, which we construct and visualise using a numerical implementation of the Nahm transform.

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Josh Cork, Derek Harland. 2026-04-29. A Nahm transform for rotating calorons. https://arxiv.org/abs/2604.27184

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