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A Two Dimensional Fermi Liquid. Part 2: Convergence

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Abstract

Using 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.

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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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Corresponding author

Correspondence to Joel Feldman.

Additional information

J.Z. Imbrie

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

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Feldman, J., Knörrer, H. & Trubowitz, E. A Two Dimensional Fermi Liquid. Part 2: Convergence. Commun. Math. Phys. 247, 49–111 (2004). https://doi.org/10.1007/s00220-003-0997-z

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  • DOI: https://doi.org/10.1007/s00220-003-0997-z

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