teaching
Information about lectures
Quantum Field Theory
The 2026 lecture series is not yet fixed but likely March-June 2026 (10 lectures).
First lecture: TBA
Rene Poncelet and Sebastian Sapeta (IFJ PAN)
In this lecture, we will present the path from the foundations of Quantum Field Theory to its applications in particle physics. Starting from Lagrangian, we shall construct perturbation theory, define a cross-section, and arrive at Feynman rules for scalar theory, Quantum Electrodynamics, and Quantum Chromodynamics. Then, we will use those tools to perform step-by-step calculations of basic scattering processes at tree level and one loop.
The lecture will be given on a blackboard and address PhD students, postdocs, and all researchers interested in systematizing their knowledge of QFT. Weekly exercises and solutions are also provided to review the lecture content. It assumes familiarity with quantum mechanics and special relativity. All the remaining prerequisites, i.e., relativistic quantum mechanics and classical field theory, will be reviewed during the lecture.
Lecture notes
Lecture 1: Scalar field theory and canonical quantisation
TBA
Lecture 2: Scalar field theory and canonical quantisation II
TBA
Lecture 3: Interacting fields and Gellmann-Low formula
TBA
Lecture 4: Perturbation theory
TBA
Lecture 5: Scattering processes and LSZ formula
TBA
Exercise Sheets
Exercise 1: Hamiltonian and Feynman propagator
To be returned TBA Download PDF
Exercise 2: Interaction Picture
To be returned TBA Download PDF
Exercise 3: Wick’s theorem
To be returned TBA Download PDF
Exercise 4: Cross-sections
To be returned TBA Download PDF
Higher-order calculations in QCD
Higher-order QCD lecture held at the Terascale Monte Carlo School 2026.