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
Knowledge acquired: 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 the course content (see below)
Competence acquired: calculation of cross-section and mean life for elementary particle processes by means of the Feynman’s diagrammatic technique and Feynman’s rules. Regularization of divergent integrals and renormalization.
Skills acquired (at the end of the course):
Dyson’s expansion and propagator (Green’s functions). Spontaneous symmetry breaking and connection with phase transitions. Low energy effective theories.
Prerequisites
Courses required: obligatory basic courses of the Physics undergraduate curriculum
Courses recommended: Fisica Teorica Complementi
Teaching Methods
Total hours of the course (including the time spent in attending lectures, seminars, private study, examinations, etc...):
150
Hours reserved to private study and other individual formative activities:
Contact hours for: Lectures (hours): 50
Further information
Office hours:
Monday: 15-16
Type of Assessment
Traditional oral test
Course program
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. 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.