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Interacting Fermi liquid in two dimensions at finite temperature: Part II: Renormalization

M. Disertori·V. Rivasseau
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Abstract

This is a companion paper to cond-mat/9907130. Using the method of continuous renormalization group around the Fermi surface and the results of cond-mat/9907130, we achieve the proof that a two-dimensional jellium interacting system of Fermions at low temperature T is a Fermi liquid (analytic in the coupling constant g) for g < const./|log T| and satisfying uniform bounds on the first and second derivatives of the selfenergy. This proves that in two dimensions the transition temperature (if any) must be non-perturbative, and is a step in the program of rigorous study of the BCS phase transition using methods of constructive field theory.

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M. Disertori, V. Rivasseau. 1999-12-22. Interacting Fermi liquid in two dimensions at finite temperature: Part II: Renormalization. https://doi.org/10.1007/s002200000301

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