The invariant measure of the 2D Yang-Mills Langevin dynamic

In this talk I will discuss the problem of stochastic
quantisation of Parisi-Wu in the context of Yang-Mills (YM) theories. I
will explain how one can make sense of the YM Langevin dynamic on the 2D torus in a way that respects the underlying gauge symmetries and makes the 2D YM measure invariant for the dynamic. I will also illustrate some consequences of the invariance, such as a decomposition of the YM measure into a GFF and a regular remainder. Based on joint work with Hao Shen.

• Speaker: Ilya Chevyrev (Edinburgh)
• Tuesday 30 January 2024, 14:00–15:00
• Venue: MR12.
• Series: Probability; organiser: Perla Sousi.