Introductory Lectures on Resurgence: CERN Summer School 2024
Gerald V. Dunne
TL;DR
This paper summarizes four introductory lectures on Resurgent Asymptotics for Physics, focusing on physically motivated examples and key ideas of resurgence presented at CERN Summer School 2024.
Contribution
It provides an accessible overview of resurgence concepts applied to physics, with exercises illustrating core ideas, aimed at beginners and researchers alike.
Findings
Exploration of the Airy function and Stokes phenomena.
Application of resurgence to quantum field theory.
Illustration of resurgent continuation and summation techniques.
Abstract
A set of four introductory lectures on Resurgent Asymptotics for Physics (``resurgence") at the CERN Summer School: Continuum Foundations of Lattice Gauge Theories, July 2024. Lecture 1: The Airy function and the Stokes phenomenon. Lecture 2: The nonlinear Stokes phenomenon. Lecture 3: Resurgence in QFT: the Heisenberg-Euler effective action. Lecture 4: Resurgent continuation and summation. The emphasis of these lectures is on physically motivated examples. The lectures include many exercises designed to illustrate some of the key ideas of resurgence.
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