Effective field theory and many-body theory

Effective field theory and many-body theory


Achim Schwenk
S2|11 205, Tel. -21550
Office hour: Wednesday, 15:00 - 16:00

This course will give an introduction to effective theories and the physics of many-body systems, with special attention to modern concepts and to applications ranging from cold atoms to nuclei, neutron stars and condensed matter systems.


  • Some of the lecture notes are based on previous lectures, and in case of “extended notes" contain more than the material covered in our course.


  1. Organizational matters
  2. Effective field theory and renormalization (extended notes) (three-body systems)
  3. Second quantization and applications (extended notes)
  4. Path integral and many-body partition function (recap) (extended notes)
  5. Perturbation theory, Feynman rules and applications (extended notes)
  6. Superconductivity, BCS theory and Nambu-Gorkov formalism (extended notes)



Recommended textbooks:
  • A. Altland and B. Simons, Condensed Matter Field Theory, Cambridge University Press, 2nd Edition, 2010.
  • A.L. Fetter and J.D. Walecka, Quantum Theory of Many‐Particle Systems, Dover Publications, 2003.
  • J.W. Negele and H. Orland, Quantum Many‐Particle Systems, Advanced Book Classics, 1998.
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