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