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

Lecture Topics References
1 Introduction Introduction
2 Field theory, path integrals Altland/Simons Ch. 3
3-5 Instantons Instantons
6-11 Non-equilibrium field theory Sections refer to Kamenev's book.
General idea of the closed contour (Sect. 1.1)
Bosons: toy model, continuum limit, GFs, Keldysh rotation, structure of action, sources (Sects. 2.2, 2.4-2.8)
Fermions: same topics as for bosons (Sects. 9.2-9.5)
Interactions (Sect. 5.2) and polarization operator (Sect. 9.7)
From Dyson's eq. to kinetic eq., Wigner transform, semiclassical approx. (Sects. 5.3, 5.5-5.8)
RPA, fermionic collision integral, quasi-particle lifetime (Sect. 9.8)
12 Spin representations Spins
13 Kondo model Kondo
14 Single-impurity Anderson model SIAM
Beyond the Fermi liquid picture, Tomonaga-Luttinger model, Bosonization, and Luttinger liquid theory notes from last year

Renormalization group lectures

No. Date Topics Lecture Final
1 14.01.20 RG intro, phi4 pdf pdf
2 21.01.20 Perturbative RG pdf pdf
3 22.01.20 Exact many-body relations pdf pdf
4 28.01.20 Functional RG I pdf pdf
5 28.01.20 Functional RG II pdf pdf
6 05.02.20 Kondo scaling via fRG pdf pdf