91-86 J.Feldman , J.Magnen , V.Rivasseau , E.Trubowitz
An Infinite Volume Expansion for Many Fermion Green's Functions (116K, TeX) Dec 26, 91
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Abstract. We prove the convergence of a simplified cluster/Mayer expansion at one energy scale for three space-time dimensional many Fermion systems. The bounds are uniform in the scale. We iterate them to show that the sum of all diagrams that contain no two or four-legged subdiagrams converges. Our results are suited to a multiscale construction of the full system.

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