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:
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. Anomalies and basics of nonperturbative phenomena in field theory.
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.