Condensed Matter Field Theory, WS 2015/16

Prof. Matthias Punk

Lectures: Tuesdays and Thursdays 08:30 - 10:00 in room C113, Theresienstr. 41
Tutorials: Mondays 12:30 - 14:00 in room B039, Theresienstr. 39

Prerequisites: Quantum Mechanics, Statistical Physics, Solid State Theory, Many-Body Physics

The aim of this course is to learn advanced methods of modern many-body theory and to apply them to various problems in condensed matter physics. A basic knowledge of many-body theory (2nd quantization, Green's functions, Feynman diagrams) is required to follow the course.


  1. Keldysh functional integrals
  2. Renormalization group
    (scaling, perturbative renormalization, operator product expansion, functional RG, Kondo effect, superfluid-Mott transition in the Bose-Hubbard model)
  3. Quantum Hall effect
    (integer and fractional quantum Hall effect, Laughlin wavefunction, Chern-Simons field theory)
  4. Spin liquids
    (frustrated magnets, Kitaev's toric code)
  5. Non-equilibrium systems

Useful Literature:

  • A. Altland, B. Simons: "Condensed Matter Field Theory"
  • A. Kamenev: "Field Theory of Non-Equilibrium Systems"
  • J. Cardy: "Scaling and Renormalization in Statistical Physics"
  • E. Fradkin: "Field Theories of Condensed Matter Physics"
additional literature on special topics will be announced in the lecture


The exam will take place on Fri., 12.2.2016 from 10:00-13:00 in room A449 (Theresienstr. 37).
You can bring books, lecture notes, etc., but no electronic devices.


Matthias Punk
Office: A418
Office hours: Tuesdays between 14:00-16:00