We report on recent progress on the problem of building a stochastic process that admits the hypothetical Yang-Mills measure as its invariant measure. One interesting feature of our construction is that it preserves gauge-covariance in the limit even though it is broken by our UV regularisation.

This is based on joint work with Ajay Chandra, Ilya Chevyrev, and Hao Shen.

This video was produced by the Hausdorff Center for Mathematics, and was part of the conference Panorama of Mathematics II.