An Explicit Large Versus Small Field Multiscale Cluster Expansion

Author:

Abdesselam A.1,Rivasseau V.1

Affiliation:

1. Centre de Physique Théorique, Ecole Polytechnique, 91128 Palaiseau Cedex, France

Abstract

We introduce a new type of cluster expansion which generalizes a previous formula of Brydges and Kennedy. The method is especially suited for performing a phase-space multiscale expansion in a just renormalizable theory, and allows the writing of explicit non-perturbative formulas for the Schwinger functions. The procedure is quite model independent, but for simplicity we chose the infrared [Formula: see text] model as a testing ground. We used also a large field versus small field expansion. The polymer amplitudes, corresponding to graphs without almost local two and four point functions, are shown to satisfy the polymer bound.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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