Master’s studies

Syllabus for Symmetry in Physics

Symmetri i fysik


  • 10 credits
  • Course code: 1FA158
  • 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
  • Revised: 2018-02-19
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 30, 2018
  • Entry requirements: 120 credits with Analytical Mechanics and Special Relativity Theory or similar.
  • Responsible department: Department of Physics and Astronomy

Learning outcomes

After passing the course the student should be able to:

  • distinguish between gauge and global symmetries.
  • ​analyze the role of groups for generating symmetry transformations.
  • apply symmetry principles to quantum field theories.
  • account for basic concepts of spontaneous symmetry breaking.
  • find nontrivial solutions in quantum field theory.



Gauge and global symmetries, group theory applications to symmetries, non-Abelian gauge theories, spontaneous symmetry breaking and Goldstone’s theorem, the Breit-Englert-Higgs Effect. Nontrivial classical solutions: Kinks, vortices, Skyrmions and magnetic monopoles. Quantization of gauge fields, the Faddeev-Popov procedure and Ward identities, Becchi-Rouet-Stora-Tyutin (BRST) symmetry, supersymmetry.


Lectures and seminars with active participation.


Problem assignments. 

Reading list

Reading list

Applies from: week 03, 2018

  • Coleman, Sidney Aspects of symmetry : selected Erice lectures of Sidney Coleman

    Cambridge: Cambridge Univ. Press, 1985

    Find in the library