UFTF009 Quantum Field Theory II

Faculty of Philosophy and Science in Opava
Summer 2023
Extent and Intensity
4/2/0. 8 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. Ing. Peter Lichard, DrSc. (lecturer)
doc. RNDr. Jan Schee, Ph.D. (lecturer)
RNDr. Filip Blaschke, Ph.D. (seminar tutor)
RNDr. Josef Juráň, Ph.D. (seminar tutor)
doc. RNDr. Jan Schee, Ph.D. (seminar tutor)
Guaranteed by
prof. Ing. Peter Lichard, DrSc.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites
TF001 Special Relativity, TF003 Quantum Mechanics II
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 acquaint students with the theory of interacting quantum fields and its applications, in particular spinor electrodynamics. The cross-sections of selected processes are calculated in detail in lectures, tutorial sessions, and also in the framework of individual work of students.
Syllabus
  • Theory of interacting fields. Symmetry and the interaction Lagrangians; electromagnetic interactions of scalar and spinor particles, pion-nucleon interaction. Local gauge invariance. Dirac's picture, Moeller's operator. S and T operator, their matrix elements (case of the normalization to the final volume and that of the continuous momentum spectrum). Transition amplitude, decay rate, cross section. Perturbation expansion of the S operator, invariant perturbation method. Wick's theorem.
    Spinor electrodynamics. Amplitudes of the Compton's, Moeller´s and Bhabha´s scattering obtained from the invariant perturbation method. Feynman diagrams and rules. Processes with charged leptons of various types.
    Scalar electrodynamics. Electron-positron annihilation into two (point) pions. Feynman rules.
    Weak interactions in the lepton sector. Neutrinos, gauge bosons, the interaction Lagrangian. Parity violation. Lepton decay of the W boson, muon decay.
Literature
    recommended literature
  • Maggiore M. A Modern Introduction to Quantum Field Theory. Oxford University Press, 2005. ISBN 0198520743. info
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 1. Nakladatelství Karolinum, 2004. ISBN 80-246-0060-9. info
  • Hořejší J. Fundamentals of Elektroweak Theory. Nakladatelství Karolinum, 2002. ISBN 8024606399. info
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 2a, 2b. Karolinum, 2000. ISBN 978-80-246-0063-5. info
  • Guidry M. Gauge Field Theories. John Wiley & Sons, 1991. ISBN 047135385X. info
Teaching methods
Students' self-study
Lectures, tutorial sessions, regularly assigned and evaluated home tasks.
Assessment methods
Credit
Active participation on tutorial sessions and the timely completion of home tasks is required. Detailed criteria will be announced by the tutorial lecturer. The exam consists of the main written part and a supplemental oral part.
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 attending of lectures is recommended, that of tutorial sessions is compulsory. If a student was absent for serious reasons, the teacher may prescribe him/her an alternative way of fulfilling the duties.
The course is also listed under the following terms Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021, Summer 2022, Summer 2024.
  • Enrolment Statistics (Summer 2023, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2023/UFTF009