Multiplicative renormalization and Hopf algebras

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dc.creatorvan Suijlekom, Walter D.
dc.date2007-07-04
dc.date.accessioned2026-07-07T08:13:55Z
dc.date.available2026-07-07T08:13:55Z
dc.descriptionWe derive the existence of Hopf subalgebras generated by Green's functions in the Hopf algebra of Feynman graphs of a quantum field theory. This means that the coproduct closes on these Green's functions. It allows us for example to derive Dyson's formulas in quantum electrodynamics relating the renormalized and bare proper functions via the renormalization constants and the analogous formulas for non-abelian gauge theories. In the latter case, we observe the crucial role played by Slavnov--Taylor identities.
dc.description13 pages; uses feynmp
dc.identifierhttps://arxiv.org/abs/0707.0555
dc.identifierhttp://arxiv.org/abs/0707.0555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132943
dc.subjectHigh Energy Physics - Theory
dc.titleMultiplicative renormalization and Hopf algebras
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