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, we will develop the formalisms of canonical quantization and path integral quantization before introducing perturbation theory and some notions of renormalization. We will discuss the quantization of spin 1/2 and spin 1 fields, concluding with a discussion of quantum electrodynamics.

Understand the concepts of a classical and quantized relativistic field and the formalisms of canonical quantization and path integral quantization. Understand the necessity and some elementary techniques of renormalization, in particular dimensional regularization. Know how to calculate cross sections and decay rates at the one-loop level in perturbation theory in a scalar theory and in quantum electrodynamics.

Knowledge of physics, mathematics, and English at the level of a bachelor's degree in physics and a master's degree in Cosmos, Fields, and Particles. In particular, special relativity, advanced quantum mechanics, electrodynamics, and elementary particle phenomenology.

Recommended prerequisites:

Knowledge of functional analysis and complex analysis.

Final exam

Classic fields

Canonical quantization and path integral quantization

Perturbation theory, Feynman diagrams

Concepts of renormalization

Fermionic fields, gauge fields, and their quantization

Quantum electrodynamics at the level of tree diagrams and loops.