| course | dates | credits |
| Resurgence in Theoretical Physics | May 14, 16, 21, 23, 28, 30 | |
| teachers | schedule | term |
| Tomás Reis | 14:00-15:30 | adv |
Program:
- Lecture 1: Introduction to resurgence - motivation, examples, Airy function, ODEs
- Lecture 2: Overview of mathematical aspects - Nevanlinna’s theorem, alien calculus, applications in non-linear ODEs
- Lecture 3: 0d Integrals as toy models for instantons - Lefschetz thimbles, resummation, Stokes lines, Airy function revisited
- Lecture 4: Large order behaviour and saddle points - Lypatov’s trick, Berry-Howls formula, quartic integrals, quantum mechanics
- Lecture 5: Resurgence in QFT - renormalons, bubble diagrams, examples
- Lecture 6: Other Applications - matrix models or integrable QFT or exact WKB (choice depending on time and preferences)
Prerequisites:
Books:
Online Resources:
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