Single Scale Analysis of Many Fermion Systems. Part 4: Sector Counting

Abstract

For a two dimensional, weakly coupled system of fermions at temperature zero, one principal ingredient used to control the composition of the associated renormalization group maps is the careful counting of the number of quartets of sectors that are consistent with conservation of momentum. A similar counting argument is made to show that particle-particle ladders are irrelevant in the case of an asymmetric Fermi curve.

52 pages, 2 figures

References in corpus (3)

• Single Scale Analysis of Many Fermion Systems. Part 2: The First Scale
• Single Scale Analysis of Many Fermion Systems. Part 4: Sector Counting
• A Two Dimensional Fermi Liquid. Part 3: The Fermi Surface

Cited by in corpus (4)

• Single Scale Analysis of Many Fermion Systems. Part 4: Sector Counting
• Singular Fermi Surfaces I. General Power Counting and Higher Dimensional Cases
• Functional Integral and Stochastic Representations for Ensembles of Identical Bosons on a Lattice
• Single Scale Analysis of Many Fermion Systems. Part 1: Insulators