The course is intended for graduate students as well as for undergraduates with the proper background. The basic aim of the course is to introduce the techniques and applications of quantum field theory.
Wednesday, 14:00-16:00, Room 3
Friday, 14:00-16:00, Room 3
The Schroedinger and Heisenberg pictures. Noether theorem. Lorentz transformations.Poincare algebra and its representations. Quantization of real and complex scalar fields.Conserved charge, antiparticles. The Dirac field. Quantization. Antiparticles. Non-relativistic limit. The gauge principle. Maxwell theory. Quantization and Photons. Spinor and scalar QED.Perturbation theory. Feynman rules for Green’s functions and scattering amplitudes. Scattering cross-section and decay rate of unstable particles. Tree-level processes in relevantmodels. Quantum corrections. Infinities. Renormalization of a QFT. One-loop renormalizationof QED. g-2 of the electron. Introduction to path-integrals. Renormalization and symmetry. Ward-Takahashi identities. The renormalization group. Callan-Symanzik equations. Beta and Gamma functions of QED.
M. Peskin and D. Schroeder, “An Introduction to Quantum Field Theory”, Westview Press, 1995.
S. Weinberg, “The Quantum Theory of Fields”, Volume I, Cambridge University Press, 1995.
S. Coleman, “Aspects of Symmetry”, Cambridge University Press, 1988.
Zee, “Quantum Field Theory in a Νutshell”, Princeton University Press, 2003.
“Methods in Field Theory”, Les Houches Summer School, 1975.
C. Itzykson and B. Zuber, “Quantum Field Theory”, McGraw Hill, 1979.
