Quantum Field Theory for Condensed Matter Physics (T) - physics759
| Course | Quantum Field Theory for Condensed Matter Physics (T) |
|---|---|
| Course No. | physics759 |
| Category | Type | Language | Teaching hours | CP | Semester |
|---|---|---|---|---|---|
| Elective | Lecture with exercises | English | 2+1 | 5 | WT/ST |
Preparation:
Quantum mechanics II (physics606), Thermodynamics and statistical physics (physik521)
Can be heard in parallel to physics617: "Theoretical Condensed Matter Physics"
Form of Testing and Examination: Requirements for the examination (written or oral): attendance of and successful work with the exercises
Length of Course: 1 semester
Aims of the Course:
Knowledge of quantum field theory of interacting many-body systems at finite temperature
Knowledge of quantum field theory for non-equilibrium systems
Ability to construct and evaluate perturbation theory using Feynman diagram
Contents of the Course:
Fock space and occupation number representation for bosons and fermions
Green’s functions: analytical properties and their relation to observable quantities
Elementary linear response theory
Equations of motion
Perturbation theory in thermodynamic equilibrium: Feynman diagrams, Matsubara technique
Perturbation theory away from equilibrium: Keldysh technique
Infinite resummations of perturbation expansions
Exemplary application to model system
Recommended Literature:
W. Nolting, Grundkurs Theoretische Physik 7: Vielteilchen-Theorie (Springer, Heidelberg 2009)
A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Dover, New York 1975 and later editions)
Xiao-Gang Wen, Quantum Field Theory of Many-Body Systems, Oxford Graduate Texts (Oxford University Press, Oxford 2004)
A. Altland and B. Simons, Condensed Matter Field Theory (Cambridge University Press, Cambridge 2006)