Quantum Field Theory II, Autumn 2022

Lecture notes:

Week 1:   Path integral (PI) in Quantum Mechanics; PI for scalar fields

Week 2:   Generating functional, PI for fermions

Week 3:   PI for gauge fields, LSZ recap, Schwinger-Dyson equations

Week 4:   Ward identity, gauge invariance & unitarity in QED

Week 5:   Axial anomaly, renormalization classes

Week 6:   Renormalized perturbation theory

Week 7:   Renormalization of QED, 2-loop calculations

Week 8:   Renormalization group

Week 9:   Wilsonian renormalization, SU(3) symmetry

Week 10:   QCD Lagrangian, PI quantization of QCD

Week 11:   Ward identities, gauge invariance & unitarity in QCD, QCD renormalization

Week 12:   1-loop QCD, Slavnov-Taylor identities, GWS Lagrangian

Week 13:   Quantization of weak interactions

The full set of lectures  

Exercise sheets:

Exercise 1       Exercise 8

Exercise 2       Exercise 9

Exercise 3       Exercise 10

Exercise 4       Exercise 11

Exercise 5       Exercise 12

Exercise 6       Exercise 13

Exercise 7