Statut  Confirmé 
Série  LPTENSHE 
Domaines  hepth 
Date  Lundi 3 Octobre 2022 
Heure  14:00 
Institut  LPENS 
Salle  L369, 24 rue Lhomond 
Nom de l'orateur  Mariño 
Prenom de l'orateur  Marcos 
Addresse email de l'orateur  
Institution de l'orateur  University of Geneva 
Titre  An introduction to resurgence in quantum theory 
Résumé  In quantum theory, we often calculate observables approximately by using perturbative series in a small parameter. These series are typically factorially divergent, so we need to make sense of them. The theory of resurgence gives a general framework to do this, and upgrades perturbative series to so called transseries, which include exponentially small corrections and make it possible to incorporate nonperturbative physics in a systematic way. Many nonperturbative techniques in quantum theory (like instanton calculus and renormalon physics) are in fact particular examples of this general framework. In these lectures I will give an introduction to resurgence with a focus on applications to quantum theory. After introducing some elementary resurgent technology, I will discuss resurgence in onedimensional quantum mechanics, and then proceed to discuss what is known about the resurgent structure of quantum field theory. 
Numéro de preprint arXiv  
Commentaires  3 lecture minicourse. Each lecture 2 hours. Inperson only 
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