93-230 Koch H., Wittwer P.
A Nontrivial Renormalization Group Fixed Point for the Dyson-Baker Hierarchical Model (72K, plain TeX) Aug 31, 93
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We prove the existence of a nontrivial Renormalization Group (RG) fixed point for the Dyson-Baker hierarchical model in d=3 dimensions. The single spin distribution of the fixed point is shown to be entire analytic, and bounded by exp(-const*t^6) for large real values of the spin t. Our proof is based on estimates for the zeros of a RG fixed point for Gallavotti's hierarchical model. We also present some general results for the heat flow on a space of entire functions, including an order preserving property for zeros, which is used in the RG analysis.

Files: 93-230.tex