Weight Systems from Feynman Diagrams

Abstract

We find that the overall UV divergences of a renormalizable field theory with trivalent vertices fulfil a four-term relation. They thus come close to establish a weight system. This provides a first explanation of the recent successful association of renormalization theory with knot theory.

Comments: 25 pages, latex, uses epsf, references updated, to appear in J.Knot Th.Ram