TFNCF0003 Quantum Field Theory II

Institute of physics in Opava
winter 2023
Extent and Intensity
4/2/0. 8 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Filip Blaschke, Ph.D. (lecturer)
prof. Ing. Peter Lichard, DrSc. (lecturer)
RNDr. Filip Blaschke, Ph.D. (seminar tutor)
Guaranteed by
prof. Ing. Peter Lichard, DrSc.
Institute of physics in Opava
Timetable
Wed 8:05–9:40 PED1, Wed 13:05–14:40 PED1
  • Timetable of Seminar Groups:
TFNCF0003/A: Thu 14:45–16:20 PED1, F. Blaschke
Prerequisites (in Czech)
(FAKULTA(FU) && TYP_STUDIA(N))
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
The subject acquaints students with advanced parts of quantum field theory.
Learning outcomes
Upon successful completion of the course, the student will:
- mathematically formulate problems of interacting physical fields,
- construct Feyman diagrams for specific particle interactions (scattering, decay)
Syllabus
  • Main topics of the subject:
    • Interacting fields theory. Symmetry and interaction lagrangians; electromagnetic interactions of scalar and spinor fields, pion-nucleon interaction.
    • Local calibration invariance. Dirac picture, Moller operator.
    • S and T operators, their matrix elements (normalisation to finite volume and continous momentum spectra).
    • Transfer amplitude, rate of decay, effective cross-section.
    • Perturbation expansion of S operator, invariant perturbation metod.
    • Wick theorem.
    • Spinor electrodynamics. Compton, Moller and Bhabha scattering amplitudes, their derivation from invariant perturbation method.
    • Feynman diagrams and rules. Process with charged leptons of many kinds.
    • Scalar electrodynamics. Electtron-positron anihilation into two (pointlike) pions. Feynman rules.
    • Weak interactions in lepton sector. Neutrina, calibration bozons, interaction Lagrangian.
    • Parity disruption. Lepton decay of W bozon, mion breakup.
Literature
    recommended literature
  • 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
  • Maggiore M. A Modern Introduction to Quantum Field Theory. Oxford University Press, 2005. ISBN 0198520743. info
  • Hořejší J. Fundamentals of Elektroweak Theory. Nakladatelství Karolinum, 2002. ISBN 8024606399. info
  • Guidry M. Gauge Field Theories. John Wiley & Sons, 1991. ISBN 047135385X. info
Teaching methods
lecture and discussion, exercise
Assessment methods
oral exam, written test
Language of instruction
Czech
Further Comments
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms winter 2020, winter 2021, winter 2022, winter 2024.
  • Enrolment Statistics (winter 2023, recent)
  • Permalink: https://is.slu.cz/course/fu/winter2023/TFNCF0003