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.
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
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