1996/05/14 by A. Abdesselam, Abdelmalek Abdesselam, Vincent Rivasseau +1 · 2 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Cluster (spacecraft) #Cluster expansion #Computer science #Field (mathematics) #Field theory (psychology) #Function (biology) #Geometry #Mathematical physics #Mathematics #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #Simplicity #Space (punctuation) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Theoretical physics #hep-th #nanoparticles nucleation surface interactions
paper · pdf · doi:10.1142/s0129055x97000063
published as Rev.Math.Phys.9:123-199,1997 · 65 pages, LaTeX
arxiv created 1996/05/14 · openalex publication_date 1997/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.