2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57155Using results established in other papers in our series, we prove the existence of the infinite volume, temperature zero, thermodynamic Green's functions of a two dimensional, weakly coupled fermion gas with an asymmetric Fermi curve and short range interactions. This is done by showing that our sequence of renormalization group maps converges.76 pages, 8 figuresMathematical Physics82B28 (Primary) 81T08 (Secondary)text