Speaker: 申皓教授，威斯康星大学

Inviter: 中国科学院数学院学术报告会组委

Title: Stochastic quantization of Yang-Mills

Language: Chinese

Time & Venue: 2025.04.25 10:40-11:50 南楼N204（数学院交流报告会）

Abstract: Quantum Yang-Mills theory is a fundamental building block of theoretical physics. 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, S. Smith, Rongchan Zhu and Xiangchan Zhu.