(42 Lectures + 14 Tutorial)

1. Relativistic quantum mechanics - Klein-Gordon equation, Dirac equation, free- particle solutions
2. Lagrangian formulation of Klein-Gordon, Dirac and Maxwell equations, Symmetries (Noether’s theorem), Gauge field, actions
3. Canonical quantization of scalar and Dirac fields
4. Interacting fields - Heisenberg picture, perturbation theory, Wicks theorem, Feynman diagram
5. Cross-section and S-matrix
6. Quantization of gauge field, gauge fixing
7. QED and QED processes
8. Radiative corrections - self-energy, vacuum polarization, vertex correction
9. LSZ and optical theorem
10. Introduction to re-normalization