Quantum Field Theory I, Autumn 2021

Lecture notes:

Week 1:   Classical fields, Equations of motion, Noether's teorem, Quantization of scalar fields

Week 2:   Propagators, Dirac equation/fields, Lorentz transformations of fields

Week 3:   Quantization of Dirac field, Discrete symmetries

Week 4-5:   Interaction picture, Dyson series, Wick's theorem, Feynman diagrams

Week 6:   Cross section, scattering matrix

Week 7:   Feynman rules with fermions, Yukawa theory, Maxwell field

Week 8:   Coulomb potential, Gupta-Bleuler quantization, Analytic structure of 2-point function

Week 9:   LSZ reduction, Optical theorem, Cutkosky rules, Unstable particles

Week 10:   e+e- annihilation into muons & helicity structure, non-relativistic approximation

Week 11:   Crossing symmetry, Compton scattering, braking radiation, vertex correction

Week 12:   Electron & photon self energy, dimensional regularization, running coupling in QED

The full set of lectures  

Exercise sheets:

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12