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On the Hopf algebra structure of perturbative quantum field theories

Dirk Kreimer
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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.

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Dirk Kreimer. 1998-01-15. On the Hopf algebra structure of perturbative quantum field theories. https://arxiv.org/abs/q-alg/9707029

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