Introduction to Resurgence, Trans-Series and Non-Perturbative Physics II by Gerald Dunne

Instability and Divergence of Perturbation Theory
Borel summation in practice
recall: divergence of perturbation theory in QM
Bogomolny/Zinn-Justin mechanism in QM
Borel summation in practice 9 ~ [mg"
Decoding a Resurgent Trans-series
Towards Resurgence in QFT
Dyson's argument QED
Euler-Heisenberg Effective Action 1935
Euler-Heisenberg Effective Action and Schwinger Effect
Euler-Heisenberg and Matrix Models, Large N, Strings, ...
de Sitter/ anti de Sitter effective actions Das & CD, hep-th/0607165
IR Renormalon Puzzle in Asymptotically Free QFT
Topological Molecules in Spatially Compactified Theories CPN-1: regulate scale modulus problem with spatial compactification:
Perturbative Analysis
Non-perturbative Physics Without Instantons
The Bigger Picture:
Towards Analytic Continuation of Path Integrals
All-Orders Steepest Descents: Darboux Theorem
Resurgence in Path Integrals: "Functional Darboux Theorem"
Resurgence in Quantum Mechanics
Uniform WKB & Resurgent Trans-Series Du= ~e-2/1+...+etizv V2x_ T-v 2-1- e+2/4 1+ ...
Connecting Perturbative and Non-Perturbative Sector this proves the Zinn-Justin/Jentschura conjecture:
Resurgence at work
Deconstructing Zero: P/NP Resurgence for SUSY QM
Connecting Perturbative and Non-Perturbative Sector