20402218 - THEORETICAL PHYSICS II

Provide the fundamental notions about radiative corrections in QED, about renormalization and about the electroweak Standard Model. To acquire skills on the phenomenology of subnuclear physics at the energies of current colliders (LHC).

Curriculum

teacher profile | teaching materials

Programme

Feynman diagrams. Tree-level processes. Discrete symmetry
Feynman diagrams and cross-sections. Bhabha and Compton scattering. Gauge invariance.
Chiral and Majorana representations for the
matrices. Parity, charge conjugation and time-reversal.

Radiative Corrections
Divergent behavior of an integral. Primitively divergent diagrams. Pauli-Villars regularization.
Coupling, mass and wave-function renormalization in a scalar theory.
QED.
Ward identity. Dimensional regularization. Vacuum polarization and Lamb shift.
Running of the coupling constant. Bremsstrahlung, infrared divergencies and their cancellation
between real and virtual contributions.

Non Abelian Gauge Theories
Yang-Mills Lagrangian. QCD. Non Abelian gauge invariance. Running of the strong
coupling. Asymtotic freedom.
Weak Interactions.
Fermi and IVB theories. W propagator. mu decay. Standard Model Lagrangian. Weak angle.
Spontaneous symmetry breaking and Higgs mechanism. Mass of the intermediate vector bosons.
CKM matrix

Core Documentation

F. Mandl, G. Shaw: Quantum Field Theory, ed. John Wiley & Sons;
M. Peskin, D. Shroeder: An Introduction to Quantum Field Theory, ed. Frontiers in
Physics

Type of delivery of the course

Lectures and recitations at the blackboard. Explanation of the theory presented via discussion of examples.

Type of evaluation

Oral exam. The student before taking the oral test has to take a take-home exam.

teacher profile | teaching materials

Programme

Feynman diagrams. Tree-level processes. Discrete symmetry
Feynman diagrams and cross-sections. Bhabha and Compton scattering. Gauge invariance.
Chiral and Majorana representations for the
matrices. Parity, charge conjugation and time-reversal.

Radiative Corrections
Divergent behavior of an integral. Primitively divergent diagrams. Pauli-Villars regularization.
Coupling, mass and wave-function renormalization in a scalar theory.
QED.
Ward identity. Dimensional regularization. Vacuum polarization and Lamb shift.
Running of the coupling constant. Bremsstrahlung, infrared divergencies and their cancellation
between real and virtual contributions.

Non Abelian Gauge Theories
Yang-Mills Lagrangian. QCD. Non Abelian gauge invariance. Running of the strong
coupling. Asymtotic freedom.
Weak Interactions.
Fermi and IVB theories. W propagator. mu decay. Standard Model Lagrangian. Weak angle.
Spontaneous symmetry breaking and Higgs mechanism. Mass of the intermediate vector bosons.
CKM matrix

Core Documentation

F. Mandl, G. Shaw: Quantum Field Theory, ed. John Wiley & Sons;
M. Peskin, D. Shroeder: An Introduction to Quantum Field Theory, ed. Frontiers in
Physics

Type of delivery of the course

Lectures and recitations at the blackboard. Explanation of the theory presented via discussion of examples.

Type of evaluation

Oral exam. The student before taking the oral test has to take a take-home exam.