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Introductory Lectures on Resurgence: CERN Summer School 2024

High Energy Physics - Theory 2026-04-27 v1 High Energy Physics - Lattice Mathematical Physics math.MP

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.

Cite

@article{arxiv.2511.15528,
  title  = {Introductory Lectures on Resurgence: CERN Summer School 2024},
  author = {Gerald V. Dunne},
  journal= {arXiv preprint arXiv:2511.15528},
  year   = {2026}
}

Comments

65 pages, 13 figures

R2 v1 2026-07-01T07:45:32.194Z