Quantum Chromodynamics
Code  Completion  Credits  Range  Language 

02ZQCD  Z,ZK  6  3+2  Czech 
 Vztahy:
 In order to register for the course 02ZQCD, the student must have successfully completed or received credit for and not exhausted all examination dates for the course 02KTPA2. The course 02ZQCD can be graded only after the course 02KTPA2 has been successfully completed.
 Garant předmětu:
 Jana Bielčíková
 Lecturer:
 Jana Bielčíková
 Tutor:
 Jan Čepila, Matěj Vaculčiak
 Supervisor:
 Department of Physics
 Synopsis:

The goal of these lectures is to acquire knowledge about basic principles of strong interaction starting from the
constituent quark model and SU(3) flavour symmetry, studies of nucleon structure in deep inelastic scattering of leptons on nucleons and parton model to basics of Quantum Chromodynamics and its practical applications in the context of current experiments in high energy physics and physics of ultrarelativistic heavyion collisions.
 Requirements:

Knowledge of basic course of physics, knowledge of quantum mechanics and quantum field theory
 Syllabus of lectures:

1. Spectrum of hadrons, basics of group theory
2. Nonrelativistic model of constituent quarks, SU(3) flavour and SU(3)xSU(2) flavourspin symmetry
3. Elastic, inelastic and deep inelastic leptonnucleon scattering
4. Parton model (parton distribution functions, sum rules, universality of structure functions, annihilation of electrons and positrons at high energies, DrellYan production of dileptons)
5. Lagrangian of Quantum Chromodynamics (QCD), differences between quantum electrodynamics and chromodynamics, QCD running coupling constant and its measurements, asymptotic freedom, perturbative QCD
6. Feynman rules in QCD and calculation of basic processes: quarkquark, quarkgluon and gluongluon scattering
7. QCD improved parton model (WWA approximation, branching functions, DGLAP evolution equations)
8. Jets (jet reconstruction algorithms, jet measurements)
9. MonteCarlo generators in particle physics and hadronization
10. Quark confinement, chiral symmetry, quarkgluon plasma, lattice QCD calculations
11. Spin and threedimensional structure of the nucleon
 Syllabus of tutorials:

1. Hadron spectra, basic ideas of group theory
2. Nonrelativistic model of constituent quarks
3.Elastic and inelastic scattering of leptons and nucleons
4.Parton model (parton distribution functions, counting rules)
5. Fragmentation and fragmentation functions
6. High energy electron  positron annihilation, DrellYan dilepton production
7. Lagrangian of quantum chromodynamics (QCD), differences between electrodynamics and chromodynamics
8. Feynman rules on tree level, calculation of scatterings: quarkquark, quarkgluon and gluongluon
9. Running coupling constant of QCD and it's measurement, asymptotic freedom, perturbative quantum chromodynamics
10. Jets, highenergy physics experiments and jet reconstruction algorithms
11. Quark confinement, chiral symmetry, quarkgluon plasma
12. Lattice QCD calculations
 Study Objective:

Knowledge:
Basics of the theory of strong interactions and quantum chromodynamics focused mainly on present particle experiments
Skills:
Independent solution of simple examples in quantum chromodynamics and following difficult calculations
application of the above mentioned knowledge
 Study materials:

Key references:
[1] F. Halzen, A.D. Martin, Quarks and Leptons , John Wiley and sons, 1984
[2] W. Greiner, S. Schramm, E. Stein, Quantum Chromodynamics , Springer, 1989
[3] J. Chýla, Quarks, partons and Quantum Chromodynamics, (skripta k přednášce na MFF UK Praha 2003)
Recommended references:
[4] R. Vogt, Ultrarelativistic HeavyIon Collisions, Elsevier Science, 2007, 6. kapitola
[5] H. Georgi, Lie Algebras in Particles Physics (From Isospin to Unified Theories), AddisonWesley Publ., 1982
 Note:
 Timetable for winter semester 2023/2024:
 Timetable is not available yet
 Timetable for summer semester 2023/2024:
 Timetable is not available yet
 The course is a part of the following study plans:

 Jaderná a částicová fyzika (compulsory course in the program)
 Kvantové technologie (elective course)