A Nahm transform for rotating calorons

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 $\ddot{I}€$, which we construct and visualise using a numerical implementation of the Nahm transform.

35 pages, 32 figures