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TVI/TMP-TA4: Condensed Matter Field Theory – Lecture notes
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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 | ||
2 | 21.01.20 | Perturbative RG | ||
3 | 22.01.20 | Exact many-body relations | ||
4 | 28.01.20 | Functional RG I | ||
5 | 28.01.20 | Functional RG II | ||
6 | 05.02.20 | Kondo scaling via fRG |