Stochastic quantization of Yang-Mills
Organizers
Speaker
Hao Shen
Time
Wednesday, April 23, 2025 5:00 PM - 7:00 PM
Venue
A6-101
Online
Zoom 388 528 9728
(BIMSA)
Abstract
The study of quantum Yang-Mills (as well as quantum field theories in general) at rigorous level has posed various challenges to mathematicians. I will talk about a dynamical approach to the problem. The dynamical formulation brings together many mathematical tools, including analysis, PDE, stochastic calculus, mixing techniques, and ideas from geometry. In particular, I will discuss the construction of gauge covariant Langevin dynamics via the theory of regularity structures, and a proof of mass gap in the strong coupling regime. This is based on a series of works joint with A.Chandra, I.Chevyrev, M.Hairer, R.Zhu and X.Zhu.
Speaker Intro
Hao Shen obtained PhD from Princeton University under supervision of Weinan E. After postdoctoral positions at Warwick and Columbia, he joined University of Wisconsin - Madison in 2018 and is now a professor there. Hao Shen’s research interest includes stochastic PDE, probability and mathematical physics.