Lecturer(s)


LICHARD Peter, prof. Ing. DrSc.

Course content

Quantum chromodynamics (QCD). Canonical quantization, gauge invariance in QCD, quantization of the free gluon field, Feynman rules in QCD with a covariant gauge. Formalism of functional integration. Functional integral in quantum mechanics, Boson fields quantization by means of the functional integrals method, Fermion fields quantization by means of the functional integrals method. Functional formulation of QCD. Renormalization and unitarity, primitive divergent diagrams, Slavnov Taylor identities, ghosts and Smatrix unitarity. Renormalization of oneloop diagrams. Asymptotical freedom, Callan Symanzik equation, evolution of the effective coupling constant in QCD. Chiral symmetries. Currents algebra, weak and electromagnetic currents of hadrons. Goldstone theorem. Hypothesis of the partially conserved axial current. Electroweak interactions, Glashow Weinberg Salam theory. Choice of gauge group, Lagrangian in generalized renormalizable gauge. Cabibbo Kobayashi Maskawa matrix. Effects of the interference of weak and electromagnetic interactions.

Learning activities and teaching methods

OnetoOne tutorial, Skills demonstration, Students' selfstudy

Recommended literature


Boyarkin, O. M. Advanced Particle Physics, Volume II. CRC Press, 2011. ISBN 9781439804179.

HoKim, Q.  Pham, X. Y. Elementary Particles and Their Interactions. Springer, 1998. ISBN 3540636676.

Hořejší J. Fundamentals of Electroweak Theory.. The Karolinum Press, 2002. ISBN 8024606399.

Muta T. Foundations of Quantum Chromodynamics.. World Scientific, 1998. ISBN 9810242298.
