Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série IPN-X
Domaines hep-ph
Date Jeudi 16 Novembre 2017
Heure 11:00
Institut CPHT
Salle Salle de conférences, bât. 6
Nom de l'orateur Wschebor
Prenom de l'orateur Nicolas
Addresse email de l'orateur
Institution de l'orateur Republica U., Montevideo
Titre Proving conformal invariance in critical scalar theories in any dimension
Résumé Conformal invariance in three dimension has a tremendous renewed interest due to the surprisingly good results obtained by using the “conformal bootstrap” in last five years. In this talk, the interest of this symmetry is reviewed and its existence in critical (scale invariant) theories in any dimension is discussed. In particular, using Wilson renormalization group, we show that if no integrated vector operator of scaling dimension -1 exists in a given model, then scale invariance implies conformal invariance. By using the Lebowitz inequalities, we prove that this necessary condition (or another similar necessary condition proposed by Polchinski many years ago) is fulfilled in all dimensions less than four for the Ising universality class. This shows, in particular, that scale invariance implies conformal invariance for the three-dimensional Ising model. Finally, the extension of this result to other critical systems is discussed.
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