The combination of quantum mechanics with the laws of special relativity requires the introduction of a new framework: relativistic quantum field theory. This course introduces the concepts and techniques of quantum field theory using a realistic theory: quantum electrodynamics (QED). This is the theory which provides a microscopic description of electrically charged particles interacting through the electro-magnetic force.
After introducing the free Maxwell and Dirac fields, interactions are introduced in a systematic way. The full theory is then treated using time dependent perturbation theory - translated in the form of Feynman diagrams and rules.
Subsequently we use this to analyze several standard processes in QED: pair production, scattering in an external field, Compton scattering, ...
Next radiative corrections are studied thereby introducing the concepts of regularization and renormalization. The course ends with a brief introduction to the generalization of QED to the other fundamental interactions.
GENERAL COMPETENCIES
Relativistic quantum fiel theory is a new conceptual layer in physics relevant when studying natural phenomena at small scales where the laws of quantum mechanics and special relativity apply simultaneously.
The course aims at a good understanding of the foundational principles of quantum field theory while simultaneously the student will enlarge his technical and analytical skills such as to be able to analyze complex realistic problems.
As quantum field theory is one of the basic topics in theoretical physics, the course provides the foundation for numerous other courses.
