Statut | Confirmé |
Série | MATH-IHES |
Domaines | hep-th |
Date | Mercredi 22 Novembre 2017 |
Heure | 16:30 |
Institut | IHES |
Salle | Amphithéâtre Léon Motchane |
Nom de l'orateur | Wallace |
Prenom de l'orateur | Ben |
Addresse email de l'orateur | |
Institution de l'orateur | IST |
Titre | Two-point function of O(n) models below the critical dimension |
Résumé | We will discuss the asymptotic behaviour of the critical two-point function for a long-range version of the n-component $|varphi|^4$ model and the weakly self-avoiding walk (WSAW) on the d-dimensional Euclidean lattice with d=1,2,3. The WSAW corresponds to the case n=0 via a supersymmetric integral representation. We choose the range of the interaction so that the upper-critical dimension of both models is $d+epsilon$. Our main result is that, for small $epsilon$ and small coupling strength, the critical two-point function exhibits mean-field decay, confirming a prediction of Fisher, Ma, and Nickel. The proof makes use of a renormalisation group method of Bauerschmidt, Brydges, and Slade, as well as a cluster expansion. This is joint work with Martin Lohmann and Gordon Slade. |
Numéro de preprint arXiv | |
Commentaires | Séminaire de probabilités et physique statistique de lIHES |
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