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arxiv: hep-th/9808042 · v1 · submitted 1998-08-07 · ✦ hep-th · math.OA· math.QA

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Hopf Algebras, Renormalization and Noncommutative Geometry

Alain Connes , Dirk Kreimer
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classification ✦ hep-th math.OAmath.QA
keywords hopfalgebraassociatedrenormalizationalgebrascomputationsexplorefoliations
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We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of transverse index theory for foliations.

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    The n-site chain graph contribution to the de Sitter cosmological wavefunction in conformally coupled φ³ theory is expressed explicitly in terms of Rudenko's quadrangular polylogarithms.