Online mathematical physics seminar

30 Mar 2020

We are glad to inform you that our mathematical physics seminar is restarting and will be taking place via Zoom.

The first talk: Gaussianity of the 4D Ising model, will be given by our member Hugo Duminil-Copin (UniGE) in a format of two lectures of 45 min each on March 30th.

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Date: 30th March 2020
Time: 15:15h - 17:00h (CET)
“Place": Zoom meeting: Follow the link

Speaker: Hugo Duminil-Copin (UniGE and IHES)
Title: Gaussianity of the 4D Ising model
Abstract:

In this talk, we will discuss the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian and its implications from the point of view of Euclidean Field Theory. Similar statements will be discussed for the λϕ4 fields over R^4 with a lattice ultraviolet cutoff, in the limit of infinite volume and vanishing lattice spacing. The proofs are enabled by the models' random current representation, in which the correlation functions' deviation from Wick's law is expressed in terms of intersection probabilities of random currents with sources at distances which are large on the model's lattice scale. Guided by the analogy with random walk intersection amplitudes, the analysis focuses on the improvement of the so-called tree diagram bound by a logarithmic correction term, which is derived here through multi-scale analysis.

Phase I & II research project(s)

Statistical Mechanics

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Tomorrow's Stokes Webinar: Singularly Perturbed Riccati Equation and the Exact WKB Method