Quantum Field Theory I, Fall 2019

Lecture 1 Introduction, Lagrangian formulation, Noether theorem

Lecture 2 Klein–Gordon fields, Feynman propagator

Lecture 3 Clifford algebra, Free Dirac fields

Lecture 4 Free Dirac fields II

Lecture 5 Free electromagnetic field, quantum fields with interactions

Lecture 6 Perturbation theory and Feynman diagrams

Lecture 7 S-matrix

Lecture 8 QED at tree level

Lecture 9 Anomalous magnetic moment

Lecture 10 Infrared divergence, Bremsstrahlung, electron self-energy, mass renormalization

Lecture 11 Källén–Lehmann spectral representation, LSZ reduction formula

Lecture 12 Optical theorem, renormalization of electric charge, running coupling constant

Lecture 13 Path-integral

Lecture 14 Schwinger–Dyson equation, Ward–Takahashi identity