Nonlinear Bosonization of Fermi Liquids

This lecture by the instructor covers the topic of nonlinear bosonization of Fermi liquids, discussing the successes of Fermi liquid theory in systems like 3 He and metals, and exploring the challenges and alternative methods beyond Fermi liquids. The lecture delves into the concept of an Effective Field Theory (EFT) for Fermi liquids, highlighting the role of Landau parameters and BCS couplings. It also explains the significance of bosonization as an alternative approach, showcasing its nonlinear completion and its application in studying interacting fermion problems. The discussion extends to the complexities of non-Fermi liquids and the transparent nature of near cancellations in the bosonic picture, providing insights into the geometry of the Fermi surface and the action for the shape of the Fermi surface.