Course: Theoretical Particle Physics

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Course title Theoretical Particle Physics
Course code UF/DF037
Organizational form of instruction Lecture + Lesson
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 0
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
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 S-matrix unitarity. Renormalization of one-loop 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
One-to-One tutorial, Skills demonstration, Students' self-study
Recommended literature
  • Boyarkin, O. M. Advanced Particle Physics, Volume II. CRC Press, 2011. ISBN 978-1-4398-0417-9.
  • Ho-Kim, Q. - Pham, X. Y. Elementary Particles and Their Interactions. Springer, 1998. ISBN 3-540-63667-6.
  • Hořejší J. Fundamentals of Electroweak Theory.. The Karolinum Press, 2002. ISBN 80-246-0639-9.
  • Muta T. Foundations of Quantum Chromodynamics.. World Scientific, 1998. ISBN 981-02-4229-8.


Study plans that include the course