Syllabus for Symmetry in Physics

Symmetri i fysik

Syllabus

  • 10 credits
  • Course code: 1FA158
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Physics A1F

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle
    G1N: has only upper-secondary level entry requirements
    G1F: has less than 60 credits in first-cycle course/s as entry requirements
    G1E: contains specially designed degree project for Higher Education Diploma
    G2F: has at least 60 credits in first-cycle course/s as entry requirements
    G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    GXX: in-depth level of the course cannot be classified.

    Second cycle
    A1N: has only first-cycle course/s as entry requirements
    A1F: has second-cycle course/s as entry requirements
    A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    AXX: in-depth level of the course cannot be classified.

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2010-03-18
  • Established by:
  • Revised: 2020-02-10
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 20, 2020
  • Entry requirements: 120 credits with Analytical Mechanics and Special Relativity Theory.
  • Responsible department: Department of Physics and Astronomy

Learning outcomes

On completion of 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.

Content

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.

Instruction

Lectures and seminars with active participation.

Assessment

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.

Reading list

Reading list

Applies from: week 01, 2020

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

    Cambridge: Cambridge Univ. Press, 1985

    Recommended for parts of the course.

    Find in the library