Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
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 trans-series, which include exponentially small corrections and make it possible to incorporate non-perturbative physics in a systematic way. Many non-perturbative 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 one-dimensional 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 mini-course. Each lecture 2 hours. In-person only
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