Path-integral in field theory. Functional methods and perturbative series. 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.
-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:
-Quantum Mechanics
-Theoretical Physics
-Quantum Electrodynamics
Courses recommended:
-Mathematical methods for theoretical physics
Nuclear and Subnuclear physics
-Theory of elementary particles
-Relativity
Teaching Methods
6 CFU
Lectures hours: 48
Further information
Office hours
On appointment
andrea.cappelli@fi.infn.it
decurtis@fi.infn.it
Website
http://theory.fi.infn.it/cappelli/tdc/
Type of Assessment
Written exercise and traditional oral examination
Course program
-Path-integral in quantum field theory, functional methods, perturbative series -Euclidean field theory and statistical mechanics. Effective action -Gauge invariance. Path integral in QED. Ward identities -1-loop renormalization of QED. Physical effects of renormalization -Introduction to the renormalization group. Callan-Symanzik equation and running coupling constant -Introduction to QCD: asymptotic freedom and parton model -Non abelian gauge theories : path-integral quantization and 1-loop renormalization. -Spontaneously broken gauge theories. Goldstone theorem and Higgs mechanism –Weak interactions -The Standard Model for the electroweak interactions: basics and study of some processes -Renormalizable and unitary gauges, CKM matrix, CP violation, GIM mechanism