Quantum Field Theory

This course is an introduction to relativistic quantum field theory and its applications in particle physics. Using a scalar field as an example, we will develop the formalisms of canonical quantization and path integral quantization before introducing perturbation theory and some concepts of renormalization. We will discuss the quantization of spin-1/2 and spin-1 fields, concluding with a discussion of quantum electrodynamics.

Be familiar with the concepts of a classical and quantized relativistic field and the formalisms of canonical quantization and path integral quantization. Understand the necessity of renormalization and some basic techniques involved, particularly dimensional regularization. Be able to calculate cross sections and decay rates at the one-loop level in perturbation theory within a scalar theory and in quantum electrodynamics.

Knowledge of physics, mathematics, and English at the level of a bachelor’s degree in physics and the first year of the master’s program in “Cosmos, Fields, and Particles.” Specifically, special relativity, advanced quantum mechanics, electrodynamics, and elementary particle phenomenology.

Recommended prerequisites:

Knowledge of functional analysis and complex analysis.

Final Exam

Standard Fields

Canonical quantification and path integral quantification

Perturbation Theory, Feynman Diagrams

Concepts of Renormalization

Fermionic Fields, Gauge Fields, and Their Quantization

Quantum electrodynamics at the level of tree and loop diagrams.