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Mathematical Physics Seminar

Stochastic quantization of Yang-Mills via regularity structures

Hao Shen - Wisconsin-Madison 

Location:  Hill 705
Date & time: Thursday, 14 March 2019 at 12:00PM - 1:00PM

Abstract :  Quantum Yang-Mills is a measure on a certain class of ``connections’’. Its mathematical construction is well-known challenging problem. Motivated by this, we construct a stochastic dynamic associated to the measure, in 2 or 3 spatial dimensions. The proof relies on Hairer’s theory of regularity structures, together with some insights on the interplay between gauge symmetry, regularization and renormalization. Based on [S. arXiv:1801.04596]  and  [Chandra,Hairer,S. work in progress].


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