BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Hao Shen (Wisconsin)
DTSTART:20210212T173000Z
DTEND:20210212T183000Z
DTSTAMP:20260423T024549Z
UID:PatC/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/27/">St
 ochastic quantization\, large N\, and mean field limit</a>\nby Hao Shen (W
 isconsin) as part of Probability and the City Seminar\n\n\nAbstract\nWe st
 udy "large N problems” in quantum field theory using SPDE methods via st
 ochastic quantization. In the SPDE setting this is formulated as mean fiel
 d problems. We will consider the vector Phi^4 model (i.e. linear sigma mod
 el)\, whose stochastic quantization is a system of N coupled dynamical Phi
 ^4 SPDEs. We discuss a series of results. First\, in 2D\, we prove mean fi
 eld limit for these dynamics as N goes to infinity. We also show that the 
 quantum field theory converges to massive Gaussian free field in this limi
 t\, in both 2D and 3D. Moreover we prove exact formulae for some correlati
 ons of O(N)-invariant observables in the large N limit\; such formulae wer
 e predicted using “bubble diagrams” in physics.\n
LOCATION:https://researchseminars.org/talk/PatC/27/
END:VEVENT
END:VCALENDAR