Hierarchical renormalization goup fixed points

Abstract

Hierarchical renormalization group transformations are related to non-associative algebras. Non-trivial infrared fixed points are shown to be solutions of polynomial equations. At the example of a scalar model in $d(\ge 2)$ dimensions some methods for the solution of these algebraic equations are presented.

Comments: Contribution to Lat94, 27 Sep -- 1 Oct 1994, Bielefeld, 6 pages, latex, no figures