Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
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 1970s1980s it was found that this behavior is closely connected to nonperturbative physics, and ’t Hooft and Parisi argued that the most important nonperturbative corrections in asymptotically free theories are due to socalled renormalons. In contrast to instantons, renormalons do not have a semiclassical 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 "transseries” 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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