| Individual course details | ||||||||||
| Study programme | Physics | |||||||||
| Chosen research area (module) | Theoretical and Experimental Physics | |||||||||
| Nature and level of studies | Bachelor academic studies | |||||||||
| Name of the course | Quantum Field Theory 1 | |||||||||
| Professor (lectures) | Maja Buric | |||||||||
| Professor/associate (examples/practical) | Dusko Latas | |||||||||
| Professor/associate (additional) | ||||||||||
| ECTS | 6 | Status (required/elective) | elective | |||||||
| Access requi | Electrodynamics 1, Relativistic Quantum Mechanics | |||||||||
| Aims of the course | The aim of the course is to introduce canonocal quantization of free relativistic fields and to apply it to fields which describe the simplest elementary particles: electron and photon. The operator formalism is introduced and important physical phenomena as causality, particle creation and annihilation, spin-statistics theorem are discussed. Interacting fields are quantized in the interaction picture via the Dyson expansion. Perturbation theory and the Wick theorem are defined and applied to the quantum electrodynamics. | |||||||||
| Learning outcomes | Students
should learn and understand basic concepts of quantization in the operator formalism: as creation and annihilation operators, vacuum, commutation relations, normal ordering. After finishing the course students should be able to apply the formalism to typical problems in quantum field theory and in applications for example in solid state physics. |
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| Contents of the course | ||||||||||
| Lectures | 1.
Elements of the classical field theory: Lagrangian, equations of motion,
canonical momenta. 2. Noether theoremand symmetries: energy-momentum tensor,
internal symmetries. 3. Scalar field: Klein-Gordon equation, energy, electric
charge. 4. Canonical quantization of the scalar field, equal-time
commutators. 5. Casimir effect. 6. Covariant commutation relationsfor the scalar field, microcausality. 7. Spinor field: Lagrangian, energy. 8. Quantization of the spinor field, anticommutators, propagator. 9. Symmetries of quantum fields. 10. Electromagnetic field: gauge symmetry, Fermi Lagrangian. 11. Covariant quantization of the electromagnetic field. 12. Interacting quantum fields, interaction picture, S-matrix. 13. S-matrix expansion, Wick's theorem. 14. Feynman rules for quantum electrodynamics, basic processes. 15. Moller scaterring. |
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| Examples/ practical classes | Example classes follow the lectures. | |||||||||
| Recommended books | ||||||||||
| 1 | Quantum Field Theory, F. Mandl, G. Shaw, John Wiley & Sons 1984 | |||||||||
| 2 | Field Quantization, W Greiner, J Reinhardt, Springer 2007 | |||||||||
| 3 | An Introduction to Quantum Field Theory, M.E. Peskin, D.V. Schroeder, Harper Collins 1995 | |||||||||
| 4 | Problem Book in Quantum Field Theory, V. Radovanovic, Springer 2007 | |||||||||
| 5 | ||||||||||
| Number of classes (weekly) | ||||||||||
| Lectures | Examples& | Student project | Additional | |||||||
| 2 | 2 | |||||||||
| Teaching and learning methods | Lectures, exercise classes, homework | |||||||||
| 100 | ||||||||||
| assesed coursework | mark | examination | mark | |||||||
| coursework | 5 | written examination | 20 | |||||||
| practicals | oral examination | 45 | ||||||||
| papers | 20 | |||||||||
| presentations | 10 | |||||||||