UFDF001 Quantum Field Theory I

Faculty of Philosophy and Science in Opava
Winter 2021
Extent and Intensity
0/0/0. 0 credit(s). Type of Completion: dzk.
Guaranteed by
prof. Ing. Peter Lichard, DrSc.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
To acquire the basics of the quantum field theory and its applications.
Syllabus
  • 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.
Literature
    recommended literature
  • Maggiore M. A Modern Introduction to Quantum Field Theory. Oxford University Press, 2005. ISBN 0198520743. info
  • Guidry M. Gauge Field Theories. WILEY-VCH Verlag GmbH & Co, 2004. ISBN 978-0-471-63117-0. info
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 1. Nakladatelství Karolinum, 2004. ISBN 80-246-0060-9. info
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 2a, 2b. Karolinum, 2000. ISBN 978-80-246-0063-5. info
  • Itzykson C., Zuber J.-B. Quantum Field Theory. McGraw-Hill Inc., 1980. ISBN 0486445682. info
Teaching methods
One-to-One tutorial
Skills demonstration
Students' self-study
Assessment methods (in Czech)
Kombinovaná zkouška
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
The attendance at lectures is recommended. It can be substituted by the self-study of recommended literature and individual consultations.
The course is also listed under the following terms Winter 2000, Summer 2001, Winter 2001, Summer 2002, Winter 2002, Summer 2003, Winter 2003, Summer 2004, Winter 2004, Summer 2005, Winter 2005, Summer 2006, Winter 2006, Summer 2007, Winter 2007, Summer 2008, Winter 2008, Summer 2009, Winter 2009, Summer 2010, Winter 2010, Summer 2011, Winter 2011, Summer 2012, Winter 2012, Summer 2013, Winter 2013, Summer 2014, Winter 2014, Summer 2015, Winter 2015, Summer 2016, Winter 2016, Summer 2017, Winter 2017, Summer 2018, Winter 2018, Summer 2019, Winter 2019, Summer 2020, Winter 2020, Summer 2021, Summer 2022.
  • Enrolment Statistics (Winter 2021, recent)
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