100 (102!) Years of the Ising Model

Collection 100 (102!) Years of the Ising Model

Organisateur(s) Hugo Duminil-Copin, Slava Rychkov, Béatrice de Tilière
Date(s) 30/05/2022 - 03/06/2022
URL associée https://indico.math.cnrs.fr/event/5466/
00:00:00 / 00:00:00
4 22

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

De Rafael Greenblatt

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.

Informations sur la vidéo

  • Date de captation 30/05/2022
  • Date de publication 01/06/2022
  • Institut IHES
  • Langue Anglais
  • Audience Chercheurs
  • Format MP4

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow


  • Mettez des vidéos en favori
  • Ajoutez des vidéos à regarder plus tard &
    conservez votre historique de consultation
  • Commentez avec la communauté
  • Recevez des notifications de mise à jour
    de vos sujets favoris
Donner son avis