Symmetry in Physics
Syllabus, Master's level, 1FA158
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Physics A1F
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 13 October 2022
- Responsible department
- Department of Physics and Astronomy
120 credits science/technology. Participation in Analytical Mechanics and Special Relativity. Proficiency in English equivalent to the Swedish upper secondary course English 6.
On completion of the course, the student should be able to:
- distinguish between gauge and global symmetries.
- analyse 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.
Written examination at the end of the course combined with hand-in problems that give bonus points at the exam.
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.