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arxiv: 2511.15528 · v1 · submitted 2025-11-19 · ✦ hep-th · hep-lat· math-ph· math.MP

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Introductory Lectures on Resurgence: CERN Summer School 2024

Gerald V. Dunne
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classification ✦ hep-th hep-latmath-phmath.MP
keywords lecturelecturesresurgencecernintroductoryphenomenonresurgentschool
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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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