This course is a continuation of the undergraduate "Quantum Field Theory" course.
Office hours: Wednesdays 3pm, H505, while course is running.
Basics of interacting field theory
Basic properties of quantum field theories. Time-ordered products and correlation functions. Structure of spectrum, in- and out- Hilbert spaces and scattering. Kallen-Lehmann representation and renormalization. LSZ reduction formula. Perturbative evaluation of correlation functions in the interaction picture. Wick's theorem and formulation in terms of Feynman diagrams. Evaluation of S-matrix elements.
QED and simple scattering processes
Wick's theorem in QED. Gupta-Bleuler quantization of the photon. Feynman diagrams for QED. Compton scattering. Electron-electron scattering. Electron-positron annihilation. Evaluation of cross-sections.
Perturbative renormalization of QED to one loop. Regularization and the Ward identity. Radiative corrections and Lamb shift.
Typos and updates
Corrections and updates will appear here.