--Classical field theory + normal coordinates + the continuum limit and classical fields + equations of motion + Noether's theorem --Field quantization: free fields +quantisation of the scalar field and Fock space +several degrees of freedom: the charged field and the spin-one field +fermionic fields: the Dirac field --Interacting fields +interactions and time evolution +the path integral +the propagator +the path integral for fermions --Amplitudes +the interaction vertex +the reduction formula +Feynman rules --Leading order computation of physical processes: +computation of the amplitude +kinematics and reference frames +the cross-section --Renormalisation +divergences and their meaning +renormalised perturbation theory +renormalisability
Prerequisites for admission
Nonrelativistic quantum mechanics. Special relativity. The Lagrangian formulation of classical mechanics.
The course consists of 42 hours of blackboard lectures, during which the basic theory and techniques of quantum field theory are presented, and some applications are worked out. A teaching assistant is available for helping the students with questions and for discussing problems.
M. Maggiore: A Modern Introduction to Quantum Field Theory; Oxford University Press, 2005
M.E. Peskin, D.V. Schroeder: An Introduction to Quantum Field Theory; Addison-Wesley, 1995 S. Weinberg: The Quantum Theory of Fields: Vol. I (foundations); Cambridge University Press, 1995 A. Zee, Quantum Field Theory in a Nutshell; Princeton University Press, 2010 V. Radovanovic: Problem Book in Quantum Field Theory; Springer, 2007
Assessment methods and Criteria
The final exam consists of a written two-hour-long test and a half-hour oral exam. In the written test the student is asked to work out standard applications, such as deriving the Feynman rules for a given theory and use them to calculate amplitudes. In the oral exam, the student is asked to discuss one of the topics from the course syllabus, chosen on the spot. All previous written exams are available (with solutions) from the instructor's website.