NFYK13004U Quantum Field Theory 1

Volume 2024/2025

MSc Programme in Physics


This course is an introduction to Quantum Field Theory. Emphasis is on the part of quantum field theory which is not just relativitic quantum mechanics.

The path integral formulation of quantum mechanics is introduced and generalized to field theory. Perturbation theory of quantum field theory is developed, including the notation of Feynman rules and Feynman diagrams. The renormalization group is introduced. Quantum electro-dynamics (QED), the theory of electrons and photons, and quantum chromo-dynamics, the theory of quarks and gluons, are studied as examples of quantum gauge theories.

Learning Outcome


The goal of the course is to introduce you to quantum field theory, such that you are able to explain in a clear and transparent way the foundations of quantum field theory as well as how to use the theory to perform calculations.



At the end of the course, you are expected to be able to:

  • Derive Feynman rules for specific theories from a Lagrangian via the path integral formalism
  • Draw and evaluate Feynman diagrams for specific theories
  • Apply the framework of regularization and renormalization to specific examples
  • Evaluate simple Feynman integrals
  • Apply symmetry considerations within the context of quantum field theory
  • Use the above to calculate simple observables beyond the leading order of perturbation theory



At the end of the course, you are expected to be able to – within the context of Quantum Field Theory – provide and use meaningful feedback, discuss central theories and concepts with peers, and perform mathematically correct calculations. You should be able to do this alone and with others, using your own curiosity, knowledge, skills and strategies; e.g. in an M.Sc. project.

To be announced on Absalon

Knowledge of the Dirac equation and its solutions is an advantage.
Basic knowledge of group theory and previous knowledge of particle physics is beneficial.
Academic qualifications equivalent to a BSc degree is recommended.
Lectures and exercise classes
  • Category
  • Hours
  • Lectures
  • 35
  • Preparation
  • 142,5
  • Theory exercises
  • 28
  • Exam
  • 0,5
  • Total
  • 206,0
Peer feedback (Students give each other feedback)
7,5 ECTS
Type of assessment
Oral examination, 25 min
Type of assessment details
Without preparation time
Exam registration requirements

two hand-ins must be approved in order to take the exam.

Without aids
Marking scale
7-point grading scale
Censorship form
No external censorship
More internal examiners

same as regular exam. If a students does not fulfill the exam prerequisite, new hand-ins can be submitted until three weeks before the re-exam.

Criteria for exam assesment

See learning outcome.