Course: Quantum Field Theory I

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Course title Quantum Field Theory I
Course code UF/DF001
Organizational form of instruction no contact
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
  • LICHARD Peter, prof. Ing. DrSc.
Course content
Relativistic wave equations (Klein-Gordon, Dirac, Proca, Maxwell). Classical theory of the corresponding free fields. Gauge invariance of the electromagnetic field and its consequences. Quantization of the scalar, fermion, massive vector, and electromagnetic fields in Schroedinger picture. Creation and annihilation operators. Fock space for bosons and fermions. Energy, momentum, and charge operators of the fields. Heisenberg picture. Normal and time-ordered (Dyson, Wick) products. Commutators (anticommutators) and contractions of the operators in Heisenberg picture. Interactions between fields. Dirac (interaction) picture. Definition of the S-matrix, its relation to the cross sections and decay rates. Invariant perturbation expansion. Wick's theorem. Interaction Hamiltonian of spinor electrodynamics, elementary processes (one of them elaborated in detail). Feynman rules for spinor electrodynamics. Crossing symmetry. Weak interaction among leptons and W bosons. Leptonic decay of the W boson.

Learning activities and teaching methods
One-to-One tutorial, Skills demonstration, Students' self-study
Recommended literature
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 1. Nakladatelství Karolinum, 2004. ISBN 80-246-0060-9.
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 2a, 2b. Karolinum, 2000. ISBN 978-80-246-0063-5.
  • Guidry M. Gauge Field Theories.. WILEY-VCH Verlag GmbH & Co, 2004. ISBN 978-0-471-63117-0.
  • Itzykson C., Zuber J.-B. Quantum Field Theory. McGraw-Hill Inc., 1980. ISBN 0486445682.
  • Maggiore M. A Modern Introduction to Quantum Field Theory. Oxford University Press, 2005. ISBN 0198520743.

Study plans that include the course