Introduction to Quantum Field Theory (QFT I)

This introductory course on Quantum Field Theory will be taught by Prof. Dr. Olaf Hohm.

The following topics will be covered in the lectures and exercise sessions:

1) General Overview of QFT
(Quantization of fields; particle interpretation; perturbation theory)

2) Classical Field Theory
2.1 Poincare group and its representations
2.2 Lagrangian and Hamiltonian formulation for scalar (spin-0),
spinor (spin-1/2) and vector (spin-1)
2.3 Symmetries & Noether's theorem

3) QFT for Scalar (Spin-0)
3.1 Canonical quantization, propagators, Green's function
3.2 Interactions, Wick's theorem
3.3 Scattering Amplitudes/S-matrix

4) Path Integral Formalism
4.1 Feynman's derivation
4.2 Finite-dimensional integrals as toy model
4.3 Perturbation theory, Feynman diagrams

5) Quantum Electrodynamics
5.1 Canonical quantization of spin-1/2
5.2 Canonical quantization of spin-1
5.3 Interactions and Simple Processes

6) Renormalization Theory