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SUMMARY:Michael Aizenman (Princeton)
DTSTART:20200615T183000Z
DTEND:20200615T193000Z
DTSTAMP:20260423T053045Z
UID:Kadanoff/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Kadanoff/6/"
 >Marginal triviality of the scaling limits of 4D critical Ising and $\\var
 phi^4_4$ models</a>\nby Michael Aizenman (Princeton) as part of Kadanoff s
 eminars\n\n\nAbstract\nThe talk will outline the recent proof that the sca
 ling limits of spin fluctuations in four-dimensional Ising-type models at 
 or near the critical point are Gaussian\, and of the similar statement for
  the $\\varphi^4_4$ fields with a lattice ultraviolet cutoff\, in the limi
 t of infinite volume and vanishing lattice spacing  (derived jointly with 
 H. Duminil-Copin).  The proofs are enabled by the models' random current r
 epresentation\, in which the correlation functions' deviation from Wick's 
 law are expressed in terms of intersection probabilities of random current
 s with  prescribed sources.   Examples will also be provided of insights f
 acilitated by this representation for two and three dimensions.\n
LOCATION:https://researchseminars.org/talk/Kadanoff/6/
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