On the Hopf algebra structure of perturbative quantum field theories

Abstract

We show that the process of renormalization encapsules a Hopf algebra structure in a natural manner. This sheds light on the recently proposed connection between knots and renormalization theory.

LaTeX, 23pages, uses epsf for 5 Figs., also available via http://dipmza.physik.uni-mainz.de/~kreimer/hopfn.ps, references updated

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