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CATEGORIES:Probability
SUMMARY:A dynamical approach to lattice Yang-Mills - Hao S
 hen (Wisconsin\, Madison)
DTSTART;TZID=Europe/London:20220607T140000
DTEND;TZID=Europe/London:20220607T150000
UID:TALK175499AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/175499
DESCRIPTION:Lattice Yang-Mills is a model of a collection of m
 atrices. We consider its Langevin dynamic (stochas
 tic quantization) which is a system of SDEs. Using
  this SDE system\, we give a simple derivation of 
 the Makeenko-Migdal loop equations\, prove uniquen
 ess and ergodicity\, log-Sobolev and Poincare ineq
 ualities\, large N limits and exponential decay of
  correlations at strong coupling. These are based 
 on joint works with Scott Smith\, Rongchan Zhu and
  Xiangchan Zhu. The dynamics in continuum in 2D an
 d 3D have been recently constructed by Chandra\, C
 hevyrev\, Hairer and the speaker\, and part of the
  motivation of the talk is to see if certain prope
 rties of the YM model can be extracted from the dy
 namics with a simplification of a lattice cutoff.
LOCATION:MR12\, Centre for Mathematical Sciences
CONTACT:Perla Sousi
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