Quantization of the Klein-Gordon, Dirac and Electromagnetic free fields. Symmetries and conservation laws. Quantum Electrodynamics as a gauge theory. The S-matrix expansion in the interaction picture. Feynman diagrams and rules. Calculation of the cross-section for some scattering processes in QED. Radiative corrections and one-loop renormalization in QED. Introduction to the standard model of electroweak interactions.
F.Mandl, G.Shaw: Quantum Field Theory;M.E.Peskin, D.V.Schroeder: An Introduction to Quantum Field Theory;J.D.Bjorken, S.D. Drell: Relativistic Quantum Field Theory
Learning Objectives
Starting from a basic knowledge of classical mechanics and electrodynamics, non relativistic quantum mechanics and elements of special relativity, the student acquires a basic knowledge concerning calculation of cross-sections and mean lifes for elementary particle processes by means of the Feynman’s diagrammatic technique and Feynman’s rules. Regularization of divergent integrals and renormalization. Knowledge acquired about Spontaneous symmetry breaking and connection with phase transitions, gauge theories and low energy effective theories
Prerequisites
Courses required: obligatory basic courses of the Physics undergraduate curriculumCourses recommended: Fisica Teorica Complementi
Teaching Methods
CFU: 6 Total hours of the course: 50 (Lectures)
Further information
Receiving by telephone appointment
Type of Assessment
Traditional oral test
Course program
Quantization of the Klein-Gordon, Dirac and Electromagnetic fields. Symmetries and conservation laws. Quantum Electrodynamics as a gauge theory. The S-matrix expansion in the interaction picture. Wick’s theorem. Feynman diagrams and rules. Calculation of the cross-section for some scattering processes in QED. Radiative corrections and one-loop renormalization in QED. Spontaneous symmetry breaking of continuous symmetries and the Goldstone theorem. The Higgs mechanism. Weak processes and the Fermi theory. Introduction to the standard model of electroweak interactions