Chen's Iterated Integral represents the Operator Product Expansion

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dc.creatorKreimer, Dirk
dc.date1999-01-21
dc.date1999-09-18
dc.date.accessioned2026-07-07T04:25:53Z
dc.date.available2026-07-07T04:25:53Z
dc.descriptionThe recently discovered formalism underlying renormalization theory, the Hopf algebra of rooted trees, allows to generalize Chen's lemma. In its generalized form it describes the change of a scale in Green functions, and hence relates to the operator product expansion. Hand in hand with this generalization goes the generalization of the ordinary factorial $n!$ to the tree factorial $t^!$. Various identities on tree-factorials are derived which clarify the relation between Connes-Moscovici weights and Quantum Field Theory.
dc.description35p, LaTeX, using epsf for four figures. References updated and typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/9901099
dc.identifierhttp://arxiv.org/abs/hep-th/9901099
dc.identifierAdv.Theor.Math.Phys. 3 (2000) 3; Adv.Theor.Math.Phys. 3 (1999) 627-670
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55909
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleChen's Iterated Integral represents the Operator Product Expansion
dc.typetext

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