In this lecture, the professor discussed solution of R-RGE, sum rule for renormalons, renormalons in OPEs, connecting Wilsonian and Continuum EFT.

1. Introduction to Effective Field Theory (EFT)
2. Dimensional Power Counting
3. Field Redefinitions
4. Matching and Decoupling
5. Classic Operator Renormalization Group Equations (RGE)
6. Chiral Lagrangians
7. Chiral Loops
8. Heavy Quark Effective Theory (HQET)
9. HQET Matching & Power Corrections
10. HQET Examples
11. Renormalons
12. More Renormalons
13. EFT with Fine Tuning
14. EFT with Fine Tuning Part 2
15. Soft-Collinear Effective Theory (SCET) Introduction
16. SCET Collinear Wilson Lines
17. SCET Multipole Expansion
18. SCET Beyond Tree Level
19. SCET Beyond Tree Level 2
20. SCET Wilson Coefficients
21. SCET Sudakov Logarithms
22. SCET for DIS
23. SCET for Dijets
24. SCETII
25. SCET_2 Rapidity RGE
26. SCET for LHC

Effective field theory is a fundamental framework to describe physical systems with quantum field theory. Part I of this course covers common tools used in effective theories: identifying degrees of freedom and symmetries; power counting expansions (dimensional and otherwise); field redefinitions; bottom-up and top-down effective theories; fine-tuned effective theories; matching and Wilson coefficients; reparameterization invariance; and advanced renormalization group techniques. Main examples are taken from particle and nuclear physics. Part II of this course is an in depth study of the Soft-Collinear Effective Theory (SCET), an effective theory for hard interactions in collider physics.