Lecture notes

• Introduction
• Phonons and 2nd quantization
• Spontaneous symmetry breaking and Mermin-Wagner theorem
• Boson path integral and quantum-to-classical mapping
• Bose Hubbard model, superfluid and Mott insulators
• XY model and duality
• Fermion path integral, supersymmetry and anomaly
• Linear response theory and Green's function
• Fermi liquid theory
• Luttinger liquid and bosonization
• Kondo effect

Homeworks