The Magic of Feynman Diagrams
Lecturers: Prof. Stefan Dittmaier, PD Dr. Maximilian Stahlhofen
Start:
-
Introduction and preliminary discussion --> course catalogue
- Dates for presentations to be determined during introduction and discussion session.
About the seminar:
Feynman diagrams are the fundamental building blocks appearing in perturbative quantum field theory in the mission of providing predictions for elementary particle processes. The complexity of Feynman diagrams rapidly grows with increasing perturbative order, characterized by: high algebraic complexity, appearance of divergences/singularities of various types, complicated analytical structures, etc.
The mission of the seminar is to take a tour to get an introduction to the concepts and techniques to tackle these challenges, which are full of mathematical and field-theoretical magic. Both the mathematical groundwork as well as phenomenological applications will be covered. The seminar is an ideal follow-up course after the "Introduction to Relativistic Quantum Field Theory" (SS25) or companion to the lecture "Quantum Field Theory II" (WS25/26).Potential Topics:
- Spinor technique and amplitude calculation
- Divergences and dimensional regularization
- One-loop Feynman integrals
- Solving Feynman integrals via differential equations
- Expansions of Feynman integrals via "methods of regions"
- Renormalization of Quantum Electrodynamics (one-loop level)
- Anomalous magnetic moment of electrons and muons
- Infrared divergences and Bloch-Nordsieck theorem
- Jets in QCD and predictions for e+e- --> jets
- etc.
Requirements for Term Paper:
- Seminar talk
- Written handout / proceedings summarizing the talk
Alumni-Preis 2020