Master’s studies

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
  • Grading system: Fail (U), 3, 4, 5.
  • Established: 2010-03-18
  • Established by: The Faculty Board of Science and Technology
  • Applies from: week 31, 2010
  • 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:
<ul>
<li>apply reduction via moment maps to new systems in mechanics and field theory </li>
<li>relate the traditional to the modern mathematical formulation of mechanics </li>
<li>analyse the role of symmetries in quantum mechanics, quantum field theory and string theory </li>
<li>derive supercurrents for a supersymmetric model. </li>
</ul>

Content

Symmetries in classical mechanics:
The Hamilton funktion. Symplectic geometri. Hamilton flow. Action of Lie groups. Moment maps. Reduction of phase space.
Symmetries in quantum mechanics:
Wiegners theorem. Representations of the rotation group. Noether currents. Induced representation of Poincare'gruppen. Spinors.
Symmetries in quantum field theory:
Gaugesymmetries. Supersymmetry. Superspace. Becchi-Rouet-Stora-Tyutin (BRST)-symmetries..
Symmetries in stringteori: Sigmamodels, Duality.

Instruction

Lectures and seminars with active participation.

Assessment

Problem assignments possibly with additional oral or written exam.

Other directives

The course is given as freestanding course and third-cycle course.

Reading list

Reading lists

Applies from: week 08, 2015

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

    Cambridge: Cambridge Univ. Press, 1985

    Find in the library

    Mandatory