Path-integral renormalization of abelian gauge theories. Renormalization group and running coupling constant. Introduction to non-abelian gauge theries. Standard Model for the electro-weak interactions. Higgs mechanism. CKM matrix. CP violation. GIM mechanism. Phenomenology of the Standard Model: study of some processes. Anomalies and monopoles in gauge theories.
-M.E. Peskin and D.V. Schoeder, "An introduction to Quantum Field Theory"; Addison-Wesley Pub. Co.
-P.Ramond, “Field Theory a modern primer”, Benjamin/Cummings Pub. Co.
-Ta-Pei Cheng and Ling-Fong Li, “Gauge theory of elementary particle physics”, Oxford Univ. Press.
-L.H.Ryder, “Quantum Field Theory”, Cambridge Univ. Press
Learning Objectives
Knowledge acquired: Feynman diagrams, evaluations of tree level cross sections in QED
Competence acquired :
Skills acquired (at the end of the course):
Renormalization of quantum field theories and physical effects. Physics of the Standard Model of electroweak interactions
Prerequisites
Courses to be used as requirements
Courses required:
-Theoretical Physics
-Quantum Field Theory I
Courses recommended:
-Mathematical methods for theoretical physics
Nuclear and Subnuclear physics 1, 2
-Theory of elementary particles
- Introduction to Relativity Theory
Teaching Methods
6 CFU
Lectures hours: 48
Further information
Office hours
A. Cappelli: S. De Curtis: On appointment
Website: http://theory.fi.infn.it/cappelli/tdc/
Type of Assessment
Written exercise and traditional oral examination
Course program
Orders of magnitude of fundamental interactions. Quantization of non-Abelian gauge theories with the path-integral. Renormalization and renormalization group. Equation Callan-Symanzik and running coupling constant. Calculation of the beta function. Introduction to QCD and parton model. Spontaneous symmetry breaking. Electroweak standard model: SU(2)xU(1), Higgs mechanism, unitary and renormalizable gauges, mixing of families. CKM matrix, CP violation, GIM mechanism. Phenomenology of the standard model: some processes. Anomalies in field theory: conformal and chiral anomalies, anomalies and topology. Solitons and monopolies. Giorgi-Glashow model and `t Hooft-Polyakov monopoles. `t Hooft-Mandelstam confinement mechanism.