Courses Catalogue

Syllabus of the course: Quantum Field Theory Ι

In this web page we provide the syllabus of the course Quantum Field Theory Ι, offered by the Department of Physics.
The list of the courses offered during the current accademic year is available here.
The list of all courses offered by the Department of Physics is available here.

InstructorM. Firrotta, E. Kiritsis
ProgramWednesday, 14:00-16:00, Room 3 Friday, 14:00-16:00, Room 3
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Goal of the courseThe 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.
SyllabusThe 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 relevant models. Quantum corrections. Infinities. Renormalization of a QFT. One-loop renormalization of 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.
BibliographyM. 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.

University of Crete - Department of Physics  - Voutes University Campus - GR-70013 Heraklion, Greece
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