https://doi.org/10.1140/epjs/s11734-026-02135-y
Review
Introductory lectures on resurgence
CERN Summer School: Continuum Foundations of Lattice Gauge Theories, July 2024
Physics Department, University of Connecticut, 06269, Storrs, CT, USA
a
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Received:
16
September
2025
Accepted:
12
January
2026
Published online:
21
February
2026
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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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
