English

Single Scale Analysis of Many Fermion Systems. Part 1: Insulators

Mathematical Physics 2009-11-07 v1 math.MP

Abstract

We construct, using fermionic functional integrals, thermodynamic Green's functions for a weakly coupled fermion gas whose Fermi energy lies in a gap. Estimates on the Green's functions are obtained that are characteristic of the size of the gap. This prepares the way for the analysis of single scale renormalization group maps for a system of fermions at temperature zero without a gap.

Keywords

Cite

@article{arxiv.math-ph/0209040,
  title  = {Single Scale Analysis of Many Fermion Systems. Part 1: Insulators},
  author = {Joel Feldman and Horst Knoerrer and Eugene Trubowitz},
  journal= {arXiv preprint arXiv:math-ph/0209040},
  year   = {2009}
}

Comments

42 pages

R2 v1 2026-07-22T16:21:53.478Z