Quantum field theory

This course is an introduction to relativistic quantum field theory and its applications in particle physics. Using the example of a scalar field, the formalisms of canonical quantization and path integral quantization will be developed, before introducing perturbation theory and some notions of renormalization. The quantization of spin 1/2 and spin 1 fields will be discussed, ending with a discussion of quantum electrodynamics.

Understand the notions of a classical and quantized relativistic field and the formalisms of canonical quantization and path integral quantization. Understand the need for and some elementary techniques of renormalization, in particular dimensional regularization. Calculate cross sections and decay rates at the level of one-loop diagrams in perturbation theory, scalar theory and quantum electrodynamics.

Knowledge of physics, mathematics and English at the level of the bachelor's degree in physics and the M1 Cosmos, fields and particles. In particular, special relativity, advanced quantum mechanics, electrodynamics, phenomenology of elementary particles.

Recommended prerequisites:

Knowledge of functional and complex analysis.

Final examination

Classic fields

Canonical quantization and path integral quantization

Perturbation theory, Feynman diagrams

Notions of renormalization

Fermionic fields, gauge fields and their quantization

Quantum electrodynamics at the level of tree and loop diagrams.