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

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

International Centre for Theoretical Sciences via YouTube Direct link

Instability and Divergence of Perturbation Theory

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1 of 26

Instability and Divergence of Perturbation Theory

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

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

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