Convergence of Perturbation Expansions in Fermionic Models. Part 2: Overlapping Loops

2002/09/21 by Joel Feldman, Feldman, Joel, Horst Knoerrer +3
Mathematics · Physics and Astronomy · #82B28 (Primary) 81T08 (Secondary) #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Theoretical and Computational Physics #math-ph #math.MP #msc:81T08 #msc:82B28

paper · pdf · doi:10.48550/arxiv.math-ph/0209046

86 pages, 23 figures

arxiv created 2002/09/21 · openalex publication_date 2002/09/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• A Two Dimensional Fermi Liquid. Part 1: Overview
• A Two Dimensional Fermi Liquid. Part 2: Convergence
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