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Quantum Field Theories - Electrodynamics

Class at Faculty of Mathematics and Physics |
NJSF114

Syllabus

Cross sections of elementary QED processes. Moeller scattering. Bhabha scaterring. Compton scattering. Pair annihilation. Scattering of electron in an external field. Bremsstrahlung. Lepton pair production in electron- positron collisions.

QED radiative corrections of second order. Feynman integrals. Classification of divergences. Electron self-energy part. Photon self-energy part. Vertex part. Regularization. Dimensional regularization, cutoff regularization. Mass renormalization. Charge renormalization. Anomalous magnetic moment of electron. Lamb shift.

QED radiative corrections of higher orders. General renormalization scheme. QED running coupling constant, its dependence on the momentum transfer.

Literature:

C. Itzykson, J.-B. Zuber, Quantum Field Theory, McGraw-Hill 1980 F. Mandl, G. Shaw, Quantum Field Theory, Wiley 1995 L.H. Ryder, Quantum Field Theory, Cambridge University Press 1994 S. Weinberg, The Quantum Theory of Fields I, Cambridge University Press 1995

Annotation

The computation of basic processes of the quantum electrodynamics in the lowest order, the radiation corrections and renormalization.