Interacting Fermi liquid in three dimensions at finite temperature: Part I: Convergent Contributions

M. Disertori; J. Magnen; V. Rivasseau

doi:10.1007/s00023-001-8594-1

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Interacting Fermi liquid in three dimensions at finite temperature: Part I: Convergent Contributions

M. Disertori·J. Magnen·V. Rivasseau

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Abstract

In this paper we complete the first step, namely the uniform bound on completely convergent contributions, towards proving that a three dimensional interacting system of Fermions is a Fermi liquid in the sense of Salmhofer. The analysis relies on a direct space decomposition of the propagator, on a bosonic multiscale cluster expansion and on the Hadamard inequality, rather than on a Fermionic expansion and an angular analysis in momentum space, as was used in the recent proof by two of us of Salmhofer's criterion in two dimensions.

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M. Disertori, J. Magnen, V. Rivasseau. 2000-12-14. Interacting Fermi liquid in three dimensions at finite temperature: Part I: Convergent Contributions. https://doi.org/10.1007/s00023-001-8594-1

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