100 (102!) Years of the Ising Model

Collection 100 (102!) Years of the Ising Model

Organizer(s) Hugo Duminil-Copin, Slava Rychkov, Béatrice de Tilière
Date(s) 30/05/2022 - 03/06/2022
linked URL https://indico.math.cnrs.fr/event/5466/
00:00:00 / 00:00:00
3 22

The scaling limit of non-solvable 2D Ising models via fermionic RG - 1

By Alessandro Giuliani

The scaling limit of any 2D Ising model with ferromagnetic short range interactions at the critical point is expected to be a Conformal Field Theory with c=1/2, one instance of which is the theory of free Majorana fermions. This expectation comes with extremely detailed predictions on critical exponents, on the form of the scaling limit of multipoint correlations and on their conformal covariance in finite domains. While the conjectured picture is now fully proved for nearest neighbor interactions, many open problems remain in the case of more general interactions. We will review the history of the problem and the state-of-the-art in the context of 2D Ising models with nearest neighbour interactions plus weak additional finite range interactions, focusing on results proved by rigorous fermionic Renormalization Group methods, and we will discuss perspectives and open problems. Based on joint works with Vieri Mastropietro.

Information about the video

  • Date of recording 30/05/2022
  • Date of publication 01/06/2022
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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