Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat.mes-hall
Date Lundi 9 Novembre 2020
Heure 10:45
Institut LPTMC
Salle On-line zoom seminar
Nom de l'orateur Ben Ali Zinati
Prenom de l'orateur Riccardo
Addresse email de l'orateur riccardo [dot] benalizinati [at] gmail [dot] com
Institution de l'orateur LPTMC Paris
Titre A bird's eye view on discrete universalities
Résumé Our modern understanding of universality, namely the independence of the critical properties of a system from its microscopic details, is based on the ideas put forward by K. Wilson and formalised within the framework of the renormalization group (RG). Despite the centrality of the subject in modern days theoretical Physics and the many decades passed since Wilson's original works, the classification of universality classes is to date largely unsolved. In recent years, however, the functional reformulation of the perturbative RG provided a simple tool to approach such a classification, extending significantly our knowledge of universality classes entailed by discrete symmetry groups in scalar field theories. In this talk, I will first introduce the technique, elucidate its key-point features and explain why it is so effective in charting the theory space. In passing, I briefly review the theory of invariant polynomials paying particular attention to the so-called Hilbert (or Molien) series. I will then focus on three particular cases: the scalar field theories endowed with the symmetry group of regular polytopes, the randomly diluted Ising models and the more general hyper-cubic scalar field theories. For each of these three cases, I review the main results and suggest possible lines of future investigations. References:
Numéro de preprint arXiv
Commentaires On-line ID de réunion : 932 4905 2930 Code secret : 641327
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