Single Scale Analysis of Many Fermion Systems. Part 1: Insulators
arXiv:math-ph/0209040 · doi:10.1142/S0129055X03001801
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.
42 pages