| Individual course details | ||||
| Study programme | Master studies | |||
| Chosen research area (module) | Theoretical and experimental physics | |||
| Nature and level of studies | ||||
| Name of the course | Quantum Field Theory 2 | |||
| Professor (lectures) | Voja Radovanovic | |||
| Professor/associate (examples/practical) | ||||
| Professor/associate (additional) | ||||
| ECTS | 15 | Status (required/elective) | elective | |
| Access requirements | Quantum Field Theory 1 | |||
| Aims of the course | This course is the second course in quantum field theory. The basic aim of this course is to quantize fields by using the path integral formalism and to learn renormalization and regularization field theories in a systematic way. | |||
| Learning outcomes | Students have acquired the basic knowledge of Quantum Field Theory; they understand the physical concepts and formalism; they are able to take an active part in research in this and related areas of physics. | |||
| Contents of the course | ||||
| Lectures | 1. Path integral in quantum mechanics. 2. Path integral for scalar fields. Free scalar field. Generating functionals and Green functions. 3. Interacting theory. Phy-4 тheory. Green functions. Feynman rules. 4. Effective action and 1PI Green functions. Background field method. 5. Schwinger-Dyson equations. 6. Ward identites; path integral approach 7. Grasmman variables. Path integral for spinor fields. 8. Gauge theories. Faddeev-Popov quantization. Feynman rules. 9. Radiative corrections. The electron vertex function. Pauli-Vilars regularization. Anomalous magnetic moment of electron. 10. Field strength renormalization. Self energy of electron. Cut-off method. Dimensional regularization. The LSZ reduction formula 11. The Optic theorem. Ward identities in QED. 12. Polarization of vacuum. Lamb shift. 13. Counting of UV divergences. Renormalizability of phi-4 theory and QED. Counterterms. 14. The renonrmalization schemes. The Renormalization Group Equations. Renormalizabilty of QCD. Asimptotic freedom. BRST Symmetry. 15. Infrared divergences. | |||
| Examples/ practical classes | Students solved homework problems under supervision of professor. | |||
| Recommended books | ||||
| 1 | M.Peskin and D. Schroeder, An Introduction to Quantum Field Theory, Addison Wesley (1995) | |||
| 2 | M.Srednicki, Quantum Field Theory, CUP (2007) | |||
| 3 | D. Bailin and A. Love, Introduction to Gauge Field Theory, Taylor and Francis (1993) | |||
| 4 | V. Radovanovic, Problem Book in Quantum Field Theory, Springer (2007) | |||
| 5 | L. Ryder, Quantum Field Theory, CUP (1996) | |||
| Number of classes (weekly) | ||||
| Lectures | Examples&practicals | Student project | Additional | |
| 6 | 4 | |||
| Teaching and learning methods | Lectures, homeworks. | |||
| Assessment (maximal 100) | ||||
| assesed coursework | mark | examination | mark | |
| coursework | 10 | written examination | 40 | |
| practicals | 10 | oral examination | 40 | |
| papers | ||||
| presentations | ||||