Quantum Field Theory I

4.0 credits

Lorentz and Poincaré symmetries. Representation theory. Free scalar field. Real and complex. Green’s functions. Free Dirac field. Transformation rules under Lorentz transformations. Free electromagnetic field with Gupta-Bleuler formalism. Interactions. Dyson series. Wick’s theorem. Feynman rules. Basic processes of QED. Tree level processes. From amplitudes to cross sections. Formal scattering theory. LSZ reduction. Counter terms. Loops and renormalization. Renormalization group. Effective field theories.