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QED Hopf algebras on planar binary trees

Christian Brouder, Alessandra Frabetti

math.QAarXiv:math/0112043

Abstract

In this paper we describe the Hopf algebras on planar binary trees used to renormalize the Feynman propagators of quantum electrodynamics, and the coaction which describes the renormalization procedure. Both structures are related to some semi-direct coproduct of Hopf algebras.

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