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

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

2002-09-21

arxiv.org/abs/math-ph/0209045v1

Physics

Mathematical Physics

58 pages, 2 figures

Scientific paper

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.

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