Convergence of Perturbation Expansions in Fermionic Models. Part 2: Overlapping Loops
Mathematical Physics
2007-05-23 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0209046,
title = {Convergence of Perturbation Expansions in Fermionic Models. Part 2: Overlapping Loops},
author = {Joel Feldman and Horst Knoerrer and Eugene Trubowitz},
journal= {arXiv preprint arXiv:math-ph/0209046},
year = {2007}
}
Comments
86 pages, 23 figures