Convergence of Perturbation Expansions in Fermionic Models. Part 1: Nonperturbative Bounds

Joel Feldman; Horst Knoerrer; Eugene Trubowitz

Convergence of Perturbation Expansions in Fermionic Models. Part 1: Nonperturbative Bounds

Mathematical Physics 2007-05-23 v1 math.MP

Authors: Joel Feldman , Horst Knoerrer , Eugene Trubowitz

Abstract

An estimate on the operator norm of an abstract fermionic renormalization group map is derived. This abstract estimate is applied in another paper to construct the thermodynamic Green's functions of a two dimensional, weakly coupled fermion gas with an asymmetric Fermi curve. The estimate derived here is strong enough to control everything but the sum of all quartic contributions to the Green's functions.

Keywords

perturbation expansions fermionic models renormalization group map operator norm thermodynamic Green's functions weakly coupled fermion gas asymmetric Fermi curve

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@article{arxiv.math-ph/0209045,
  title  = {Convergence of Perturbation Expansions in Fermionic Models. Part 1: Nonperturbative Bounds},
  author = {Joel Feldman and Horst Knoerrer and Eugene Trubowitz},
  journal= {arXiv preprint arXiv:math-ph/0209045},
  year   = {2007}
}

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58 pages, 2 figures

Convergence of Perturbation Expansions in Fermionic Models. Part 1: Nonperturbative Bounds

Abstract

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