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

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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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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada, V6T 1Z2

    Joel Feldman

  2. Mathematik, ETH-Zentrum, 8092, Zürich, Switzerland

    Horst Knörrer & Eugene Trubowitz

Authors
  1. Joel Feldman
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  2. Horst Knörrer
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  3. Eugene Trubowitz
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Correspondence to Joel Feldman.

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J.Z. Imbrie

Research supported in part by the Natural Sciences and Engineering Research Council of Canada and the Forschungsinstitut für Mathematik, ETH Zürich.

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Feldman, J., Knörrer, H. & Trubowitz, E. Convergence of Perturbation Expansions in Fermionic Models. Part 2: Overlapping Loops. Commun. Math. Phys. 247, 243–319 (2004). https://doi.org/10.1007/s00220-004-1040-8

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  • DOI: https://doi.org/10.1007/s00220-004-1040-8

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