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Stochastic quantization of Yang-Mills via regularity structures
Hao Shen- University of Wisconsin - Madison
Location: Hill 705
Date & time: Thursday, 08 November 2018 at 12:00PM - 1:00PM
Abstract: Quantum Yang-Mills is a measure on a certain class of ``connections’’. Its mathematical construction is open. Motivated by this, we construct a stochastic dynamic associated to the measure, in 2 or 3 spatial dimensions. In the proof we apply Hairer’s theory of regularity structures, and discuss the interplay between gauge symmetry, regularization and renormalization. Based on [S. arXiv:1801.04596] and [Chandra,Hairer,S. work in progress].