Master’s studies

Syllabus for Advanced Quantum Field Theory

Avancerad kvantfältteori


  • 10 credits
  • Course code: 1FA159
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Physics A1F
  • Grading system: Fail (U), 3, 4, 5.
  • Established: 2010-03-18
  • Established by: The Faculty Board of Science and Technology
  • Applies from: week 10, 2010
  • Entry requirements: Advanced quantum mechanics or equivalent background. Relativistic quantum mechanics and an introductory course in quantum field theory (e.g. 1SV03) is recommended.
  • Responsible department: Department of Physics and Astronomy

Learning outcomes

  • After passing the course the student should be able to

  • use the pathintegral formalism to quantize an arbitrary field theory with both bosonic and fermionic fields

  • derive the Feynman rules for a gauge theory using pathintegrals

  • derive the Higgs mechanism and spontaneous symmetry breaking

  • use the renormalisation group and how to regularize in an arbitrary gauge-theory

  • derive the BRST symmetry and to analyse in examples how it mirrors gauge invariance in the quantum theory

  • explain the phenomenon of anomalies and to calculate them in a number of examples

  • explain basic supersymmetry and supersymmetric quantum field theory with applications

  • analyse the conceptual problems that arise in quantizing gravity.


The course establishes the relation of standard canonical quantisation formalism for field theories to path-integral quantisation. The course will also familiarise the students with some basic concepts in advanced quantum field theory such as path-integral quantisation of gauge theories, regularisation and the renormalisation group, BRST-quantisation, Higgs-mechanism, spontaneous symmetry breaking, anomalies and supersymmetry.




Homework assignments, possibly amended by an oral exam.

Reading list

Applies from: week 11, 2010