Interacting Fermi liquid in three dimensions at finite temperature: Part I: Convergent Contributions
Disertori, M. ; Magnen, J. ; Rivasseau, V.
arXiv, 0012270 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-12-14
Classification:  Condensed Matter - Superconductivity,  Mathematical Physics 
@article{0012270,
     author = {Disertori, M. and Magnen, J. and Rivasseau, V.},
     title = {Interacting Fermi liquid in three dimensions at finite temperature: Part
  I: Convergent Contributions},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0012270}
}

Disertori, M.; Magnen, J.; Rivasseau, V. Interacting Fermi liquid in three dimensions at finite temperature: Part
  I: Convergent Contributions. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012270/