Quantum Field Theory I, Fall 2022

Lecture 1 Introduction, Lagrangian formulation, Noether theorem

Lecture 2 Free scalar 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 Tree-level amplitude

Lecture 9 QED at tree level, idea of renormalization

Lecture 10 Anomalous magnetic moment

Lecture 11 Infrared divergence, bremsstrahlung, electron self-energy, mass renormalization

Lecture 12 Renormalization of electric charge, running coupling constant

Lecture 13 Ward–Takahashi identity

Lecture 14 Källén–Lehmann spectral representation, LSZ reduction formula

Lecture notes are written by referring to various sources without mentioning them. Comments are welcome.

During the lecture, I played videos of some interviews and talks of prominent physicists.

S. Weinberg on Prospects for Further Unification in the Theory of Elementary Particles: Transcript and Video

Syllabus