THEORETICAL PHYSICS OF THE FUNDAMENTAL INTERACTIONS

Second cycle degree in PHYSICS

Campus: PADOVA

Language: English

Teaching period: First Semester

Lecturer: PIERPAOLO MASTROLIA

Number of ECTS credits allocated: 6


Syllabus
Prerequisites: This course requires basic knowledge of theoretical physics and quantum field theory, for free fields.
Examination methods: Written and oral exams
Course unit contents: Outline:

1. Quantum Electrodynamics: Feynman rules; scattering processes at tree-level: Rutherford scattering, Compton scattering, Bhabha scattering and Bremsstrahlung.

2. Basics of Radiative corrections and Renormalization.

3. Non-Abelian gauge theories. Lie Algebra, covariant derivatives, kinetic terms and self-interaction of gauge fields.

4. SU(3) gauge theory and Quantum Chromodynamics.
The color algebra.
Feynman rules and tree-level scattering amplitudes for gluons and quarks.

5. Introduction to the Weak interaction.
Fermi's theory: Feynman rules and the muon decay.
SU(2) x U(1) gauge theory and Electroweak unification.

6. Spontaneous symmetry breaking: breaking of a discrete symmetry; spontaneous breaking of global U(1) symmetry; Goldstone theorem; the Higgs mechanism.

7. Spontaneous symmetry breaking of SU(2)xU(1) and the Higgs doublet.

8. The Standard Model Lagrangean.