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

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

2002-09-21

arxiv.org/abs/math-ph/0209043v1

Physics

Mathematical Physics

52 pages, 2 figures

Scientific paper

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.

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