Course

Grassman variables, Berezin calculus, Functional integral quantization for fermions

Screening of a charge in the electron gas, Lindhard function

Local potential approximation, Relationship between Wilsonian and perturbative renormalization

Angle-resolved photoemission spectroscopy and its application to polaron problem. Interacting electrons and Hartree-Fock approximation.

Renormalization group, Wilsonian renormalization

Polaron, electron-phonon interactions, Holstein model

Renormalization of massless φ4 theory at one loop

Einstein and Debye models, detecting phonons: neutron scattering

Effective action, Introduction to renormalization

Ionic vibrations, phonons, phonon quantization

Structure of perturbation theory, Generating functionals