Course

Renormalizability, Renormalization and OPEs, Wilsonian renormalization

BSC theory

Renormalization of massless φ4 theory continued, Beta functions, Scaling anomaly

Effective action as a generating functional for irreducible diagrams, One loop renormalization of massless φ4 theory

Quantum theory of phonons; Debye Model; electron-phoning interactions.

Stoner model for ferromagnetism (Hubbard model); magnetic polarization; accoustic and optical phonons.

Effective action to one loop

Hartree and Hartree-Fock equations; Self-energy; Screening (Yukawa potential); Stoner model for ferromagnetism (Hubbard model).