NFYK13004U Quantum Field Theory 1

Volume 2026/2027
Education

MSc Programme in Physics

Content

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

Knowledge:

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.

 

Skills:

At the end of the course, the student is 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

     

Competences:

At the end of the course, the student is 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 MSc project.

See Absalon

The course Elementary Particle Physics (NFYA04036U) is a highly recommended prerequisite (i.e., Quantum Field Theory 1 is extra challenging without this course).
The following two courses are also recommended: General Relativity and Cosmology (NFYA04022U) and Mathematical Methods in Physics Part 3 (MatF3) (NFYB16006U).
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
Written
Oral
Credit
7,5 ECTS
Type of assessment
Oral examination, 25 minutes (no preparation time)
Aid
No aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
Several internal examiners
Re-exam

Same as ordinary exam

Criteria for exam assesment

See Learning Outcome