Lec. 03 – Multiloop Renormalization (winter '20/'21) · TU Dresden
Channel: QFT Dominik Stoeckinger
Date: 2020-11-16

Specialization Lecture as held in the winter semester of 2020/2021 at the Technical University Dresden (Technische Universität Dresden)

Lecture and conception: Dominik Stöckinger
Video editing: Baibhab Ray

Second Lecture, Part 1 – 12 November 2020, ASB/0114/U

Content:
0:00:00 – Intro
0:00:10 – Lessons from Sec. 1 (Recap.)
0:03:27 – Chap. 2: Forest Formula & Further Feynman Graph Relations
(incl.:
    Definitions (connected graph, One-particle irreducible (1PI), spanning tree, subgraph, reduced graph)
    
)
0:14:51 – 2.1 CT-Lagrangian and R-Operation Recursion Formula
(incl.:
    0:15:53: at 1-Loop
    0:19:25: at 2-Loop
    0:34:56: at 3-Loop
)
0:53:03 – 2.2 Forest formula (Zimmermann)
(incl.:
    0:53:46: Definitions (forest, full/"normal" forest)
    1:02:02: evaluate recursion for G = [specific three-loop diagram]
    1:16:50: Forest formula and proof by induction
)
1:42:20 – 2.3 Momentum Routing & Trees