Functional methods and perturbative series.
Path-integral renormalization of Abelian gauge theories.
Renormalization group and running coupling constant.
Chiral anomaly. Dirac monopole and topological invariants.
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.
-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
Competence acquired at the end of the course:
Renormalization of quantum field theories and its physical effects.
Physics of the Standard Model of electroweak interactions
Prerequisites
Courses required:
-Theoretical Physics
-Quantum Field Theory I
Courses recommended:
-Mathematical methods for theoretical physics
-Nuclear and Subnuclear physics 1, 2
Teaching Methods
6 CFU
Lectures hours: 48
Further information
Meeting with students A. Cappelli and S. De Curtis: On appointment
Website http://theory.fi.infn.it/cappelli/tdc/
Type of Assessment
Written exercise and traditional oral examination
Course program
-Euclidean field theory and statistical mechanics. Effective action
-Gauge invariance. Path integral in QED.
-1-loop renormalization of QED. Physical effects of renormalization
-Renormalization group. Callan-Symanzik equation and running coupling constant
- Chiral anomaly and its physical consequences
-Introduction to QCD: asymptotic freedom and parton model
-Non abelian gauge theories: path-integral quantization and 1-loop renormalization.
-Spontaneously broken gauge theories. Higgs mechanism
-The Standard Model for the electroweak interactions: basics and study of some processes
-Renormalizable and unitary gauges, CKM matrix, CP violation, GIM mechanism