UF03401 Quantum Field Theory II

Faculty of Philosophy and Science in Opava
Summer 2015
Extent and Intensity
4/2/0. 10 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. Ing. Peter Lichard, DrSc. (lecturer)
prof. Ing. Peter Lichard, DrSc. (seminar tutor)
Guaranteed by
prof. Ing. Peter Lichard, DrSc.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites
UF03203 Quantum Mechanics II
TF001 Special Relativity, TF003 Quantum Mechanics II
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
To acquaint students with the theory of interacting quantum fields and its applications, in particular with the spinor electrodynamics. The cross-sections of selected processes are calculated in detail in lectures, exercises 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 1994, Summer 1995, Summer 1996, Summer 1997, Summer 1998, Summer 1999, Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014.
  • Enrolment Statistics (recent)
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