Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 6 Octobre 2022
Heure 11:45
Institut IHP
Salle 314
Nom de l'orateur Mariño
Prenom de l'orateur Marcos
Addresse email de l'orateur
Institution de l'orateur University of Geneva
Titre Renormalons, integrable QFTs and resurgence
Résumé Understanding the behavior of perturbative series in quantum field theory is an old and venerable problem. In the 1970s-1980s it was found that this behavior is closely connected to non-perturbative physics, and ’t Hooft and Parisi argued that the most important non-perturbative corrections in asymptotically free theories are due to so-called renormalons. In contrast to instantons, renormalons do not have a semi-classical description, they are difficult to compute, and they are still poorly understood. In this talk I will first summarize what is known about the physics and mathematics of renormalons. I will then argue that integrable field theories in two dimensions provide an excellent laboratory to obtain analytic results on the structure or renormalons. Some of these exact results turn out to challenge the standard orthodoxy on the subject. I will also explain how renormalons provide "trans-series” representations for observables, i.e. extensions of perturbation theory which include exponentially small corrections, as expected f rom the theory of resurgence.
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