Speaker
Mr
Ilya Chevyrev
(TU Berlin and University of Edinburgh)
Description
In this talk, I will describe a family of observables for 3D quantum Yang-Mills theory based on regularising connections with the YM heat flow. I will describe how these observables can be used to show that there is a unique renormalisation of the stochastic quantisation equation of YM in 3D that preserves gauge symmetries, which complements a recent result on the existence of such renormalisations. Our analysis is based on short time expansions of SPDEs and of regularised Wilson loops, and requires a careful balance between the running time of the dynamic and the regularisation parameter coming from the YM heat flow.
Based on joint work with Hao Shen.
Author
Mr
Ilya Chevyrev
(TU Berlin and University of Edinburgh)