Quantum Field Theory I, Fall 2019

Syllabus

Lecture Plan

lecture1 (Introduction, Lagrangian formulation, Noether theorem)

lecture2 (Klein-Gordon fields, Feynman propagator)

lecture3 (Clifford algebra, Free Dirac fields)

lecture4 (Free Dirac fields II)

lecture5 (Free electromagnetic field, quantum fields with Interactions)

lecture6 (Perturbation theory and Feynman diagrams)

lecture7 (S-matrix)

lecture8 (QED at tree level)

lecture9 (Anomalous magnetic moment)

lecture10 (Infrared divergence, Bremsstrahlung, Electron self-energy, Mass renormalization)

lecture11 (Kallen-Lehmann spectral representation, LSZ reduction formula)

lecture12 (Optical theorem, Renormalization of electric charge, Running coupling constant)

lecture13 (Path-integral)

lecture14 (Schwinger-Dyson equation, Ward-Takahashi identity)

We will follow Peskin and Schroeder, and I will not write detailed lecture notes.

Homework

homework1

homework2

homework3

homework4

homework5

homework6

First, you should try to solve problem sets by yourself.

If you cannot solve a problem. the corresponding solution will be sent on request.