Interacting Fermi Liquid in Two Dimensions at Finite Temperature. Part II: Renormalization

This is a companion paper to DR1]. Using the method of continuous renormalization group around the Fermi surface and the results of DR1], we achieve the proof that a two-dimensional jellium system of interacting Fermions at low temperature T is a Fermi liquid above the BCS temperature. Following S], this means proving analyticity in the coupling constant λ for , where K is some numerical constant, and some uniform bounds on the derivatives of the self-energy. Received: 27 July 1999 / Accepted: 31 May 2000