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Hopf algebra appears in recent papers that systematize renormalization of quantum field theory (QFT). For example see Connes' work and citing papers or a paper referenced here on PSE:

R. E. Borcherds, "Renormalization and quantum field theory"
http://arxiv.org/abs/1008.0129

This seems to be an effort that is separate from string theory, but I wonder if they are compatible. Since "compatible" is perhaps too loose of a term, I'm asking:

Why do string theory and Hopf algebra renormalization seem to have no intersection?

If the reader feels the question could be improved by rewriting, please so assist.

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Why do you want to renormalize a theory that gives UV finite answers?

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  • $\begingroup$ Why do you want to see a reference saying that finite theories don't need a renormalization treatment? $\endgroup$ – Luboš Motl Feb 14 '11 at 6:58
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http://arxiv.org/abs/0805.2203 sure bout that?

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    $\begingroup$ Could you expand on this? $\endgroup$ – David Z Mar 16 '12 at 14:15
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    $\begingroup$ To expand of David's comment, link only answers are discouraged across the entire Stack Exchange network, because Stack Exchange aims to be a content host, not a redirection cache. At a minimum you need to summarize what the linked paper is about and how it connects to the question as asked. $\endgroup$ – dmckee Mar 16 '12 at 19:19

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