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Course: Quantum Field Theory

Department/Abbreviation: SLO/KTP

Year: 2021

Guarantee: 'Mgr. Jiří Kvita, Ph.D.'

Annotation: The aim is to introduce the principles and the apparatus of quantum field theory to students and to teach them to actively use them.

Course review:
1. Principle of minimal action - Lagrange-Hamilton principle, relativistic point particle, canonical transformation, field as infinite dynamical system 2. Symmetries and conservation law - Noether theorem 3. Quantization - formulation, 1-d crystal, fonons, normal ordering, Fock space, skalar field, charge-antiparticle, time ordering, Green function, thermodynamic equilibrium, non-zero temperature propagator 4. El. mg. field quantization - Gupta Bleuler formalism, transversal photons, propagator, vacuum fluctuation, Casimir effect 5. Dirac field - quantization, anti-commutator, fermion Fock space, spin-statistic theorem 6. Wick theorem - bosons/fermions, Grassmann algebra 7. S matrix - in/out states, cross section, reduction formalism 8. Applications - phi^4 theory, contra terms, covariant perturbation theory, calculation of amplitudes 9. Feynman diagrams 10. Quantum electrodynamics - Compton scattering, Bremsstrahlung 11. Renormalization