Quantum Field Theory (TMP)

• Basic Concepts of Quantum Field Theory
• Path integral representation of quantum field theory, perturbation expansion, Feynman diagrams
• From Green functions to scattering cross sections, particle states, LSZ reduction
• Renormalization, regularization, effective field theory, renormalization group, running couplings
• Symmetries and relativistic particles & quantum fields with spin, fermionic path integral, Feynman rules for general fields
• Vector fields and gauge symmetry, quantum electrodynamics

After successful completion of the module the student will be prepared

• to compute Green functions in perturbation theory, including loop corrections, and apply these to calculations of high-energy reactions;
• to quantise non-Abelian gauge theory and to calculate tree- and loop processes;
• to understand the concepts of regularisation and renormalisation and to apply these in calculations;
• to improve perturbative calculations using the renormalisation group;
• to construct effective quantum field theories.

The course is accompanied by homework problems.

Blackboard, possibly supplemented with slides.

• Peskin & Schroeder, "An Introduction to Quantum Field Theory"
• Weinberg, "Quantum Theory of Fields"
• Schwartz, "Quantum Field Theory and the Standard Model"

The learning outcome is tested in a written exam of 180 minutes duration. Participation in tutorials is strongly recommended.

There will be a bonus (one intermediate stepping of "0,3" to the better grade) on passed module exams (4,3 is not upgraded to 4,0). The bonus is applicable to the exam period directly following the lecture period (not to the exam repetition) and subject to the following conditions

1. The student prepared at least 50% of the exercises on the exercise sheets and
2. presented at least three exercises at the blackboard and
3. actively participated in the tutorials.