Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTENS-HE
Subjects hep-th
Date Wednesday 12 October 2022
Time 14:00
Institute LPENS
Seminar Room L363, 24 rue Lhomond
Speaker's Last Name Marińo
Speaker's First Name Marcos
Speaker's Email Address
Speaker's Institution University of Geneva
Title An introduction to resurgence in quantum theory
Abstract 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.
arXiv Preprint Number
Comments 3 lecture mini-course. Each lecture 2 hours. In-person only

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