Combinatorial Hopf algebras from renormalization |
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| Authors: | Christian Brouder Alessandra Frabetti Frédéric Menous |
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| Institution: | 1.Institut de Minéralogie et de Physique des Milieux Condensés, CNRS UMR7590, Universités Paris 6 et 7,IPGP,Paris,France;2.Université de Lyon, Université Lyon 1, CNRS,UMR 5208 Institut Camille Jordan,Villeurbanne,France;3.Département de Mathématiques, Bat. 425,Université Paris-Sud,Orsay,France |
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| Abstract: | In this paper we describe the right-sided combinatorial Hopf structure of three Hopf algebras appearing in the context of
renormalization in quantum field theory: the non-commutative version of the Faà di Bruno Hopf algebra, the non-commutative
version of the charge renormalization Hopf algebra on planar binary trees for quantum electrodynamics, and the non-commutative
version of the Pinter renormalization Hopf algebra on any bosonic field. |
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