Dec 18, 2023
The invariant measure of the 2D Yang-Mills Langevin dynamic
Vienna Probability Seminar
Date: December 18, 2023 |
3:45 pm –
5:00 pm
Speaker:
Ilya Chevyrev, University of Edinburgh
Location: Mondi 2 (I01.01.008), Central Building
Language:
English
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, after a suitable renormalisation, 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 describe several steps in the proof of this result as well as some its consequences, including a decomposition of the YM measure into a Gaussian free field and a regular remainder. Based on joint work with Hao Shen.
