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 |
|
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|
|
|
|
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