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TVI/TMP-TA4: Condensed Matter Field Theory – Lecture notes

Weeks Topics References
1 Field theory, path integrals Altland/Simons Ch. 3
2 + 3 Instantons Instantons
4 Linear response, correlation functions, QM vs QFT Altland/Simons Ch.7, Lecture notes 09.11
5 Functional field integral, coherent states Altland/Simons Ch.4 / p. 157-169, Coherent states
6 Perturbation theory, Fermi liquid Altland/Simons Ch. 5.2, Fermi Liquid Tsvelik
7 Mean-field theory, Plasma theory of interacting electron gas Altland/Simons Ch. 6.1, Ch. 6.2
8 Superconductivity Reminder on SC, Altland/Simons Ch. 6.4 - Ginzburg Landau Theory
9 Spontaneous symmetry breaking, superconductivity ctd.  Altland/Simons pages 257-261,  Ch. 6.4 - Action of the Goldstone mode
10  Beyond the Fermi liquid picture, Tomonaga-Luttinger model  Tomonaga-Luttinger model 
11 Bosonization and the Luttinger liquid theory Bosonization and the Luttinger liquid theory, see also updated list of literature
12 Luttinger liquid theory and renormalization group Luttinger liquid theory and renormalization group, for phase diagram see Ref. PRL 68 1220 (1992)
13 + 14 + 15 Non-equilibrium field theory Book by Kamenev: Section 1.1; Bosons: Sections 2.2, 2.4-2.8; Interactions and Dyson equation: Sections 5.1-5.3; Fermions: Sections 9.2-9.5;