Course: Quantum Field Theory I

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Course title Quantum Field Theory I
Course code UF/TF007
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 8
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
Motivation for quantum field theory. The final volume normalization of the free states. General Lorentz transformation. Lorentz group and its subgroups. Scalar field. Klein-Gordon equation. Real scalar field. Hamilton's variational principle, Euler-Lagrange equations. Hamiltonian formalism. Energy-momentum tensor. Noether's theorem. Generalization to multi-component fields. Complex scalar field. Quantization of the scalar field, creation and annihilation operators, Fock space. Operators of energy, momentum and charge of the scalar field. Transition to the Heisenberg picture. Commutators and contractions of the field operators. Spinor field. Dirac equation . Classical and quantum theory of the spinor field. Anticommutators. Fock space for fermions. Heisenberg picture. Electromagnetic field. The equation for the four-potential, gauge transformations . Classical field theory. Quantization in the Coulomb calibration. Covariant quantization. Heisenberg picture. Massive vector field. Proca equation. Classical and quantum theory of the massive vector field. Continuous spectrum. Normalization of single-particle states, field operators, creation and annihilation operators, commutators and anticommutators.

Learning activities and teaching methods
Students' self-study, Lectures, tutorial sessions, regularly assigned and evaluated home tasks.
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. John Wiley & Sons, 1991. ISBN 047135385X.
  • Maggiore M. A Modern Introduction to Quantum Field Theory. Oxford University Press, 2005. ISBN 0198520743.
  • Sterman G. An Introduction to Quantum Field Theory. Cambridge University Press, 1993. ISBN 0521311322.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Philosophy and Science in Opava Theoretical Physics (2) Physics courses 2 Winter