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SUMMARY:A dynamical approach to lattice Yang-Mills - Hao Shen (Wisconsin\,
  Madison)
DTSTART:20220607T130000Z
DTEND:20220607T140000Z
UID:TALK175499@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Lattice Yang-Mills is a model of a collection of matrices. We 
 consider its Langevin dynamic (stochastic quantization) which is a system 
 of SDEs. Using this SDE system\, we give a simple derivation of the Makeen
 ko-Migdal loop equations\, prove uniqueness and ergodicity\, log-Sobolev a
 nd Poincare inequalities\, large N limits and exponential decay of correla
 tions at strong coupling. These are based on joint works with Scott Smith\
 , Rongchan Zhu and Xiangchan Zhu. The dynamics in continuum in 2D and 3D h
 ave been recently constructed by Chandra\, Chevyrev\, Hairer and the speak
 er\, and part of the motivation of the talk is to see if certain propertie
 s of the YM model can be extracted from the dynamics with a simplification
  of a lattice cutoff.
LOCATION:MR12\, Centre for Mathematical Sciences
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