1) Introduction. Conventions.
2) Perturbation theory and Feynman diagrams from Path Integrals
(scalars and fermions). Computation of tree-level diagrams. The S-matrix.
3) Computation of one-loop diagrams, regularization and renormalization. Dimensional regularization. Renormalizable field theories. Beta functions. The LSZ reduction formula.
4) QED : quantization of gauge fields, gauge fixing and the Faddeev-Popov procedure, Feynman diagrams, tree-level processes, Ward identities. Scattering amplitudes at one-loop, renormalization, IR divergences. 1PI effective action, BRST symmetry.
5) Non-Abelian gauge theories : Feynman rules, gauge-fixing, the one-loop beta function. QCD, asymptotic freedom, confinement.
6) (Time permitting) Symmetries, Goldstone's theorem, renormalization and symmetry, effective actions of Nambu-Goldstone bosons and the Higgs
mechanism.