Stochastic quantization of Yang-Mills
演讲者
申皓
时间
2025年04月23日 17:00 至 19:00
地点
A6-101
线上
Zoom 388 528 9728
(BIMSA)
摘要
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.
演讲者介绍
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.