Convergence of Perturbation Expansions in Fermionic Models. Part 2: Overlapping Loops
Joel Feldman, Horst Knoerrer, Eugene Trubowitz
Abstract
We improve on the abstract estimate obtained in Part 1 by assuming that there are constraints imposed by `overlapping momentum loops'. These constraints are active in a two dimensional, weakly coupled fermion gas with a strictly convex Fermi curve. The improved estimate is used in another paper to control everything but the sum of all ladder contributions to the thermodynamic Green's functions.
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