Renormalization of gauge fields: A Hopf algebra approach

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dc.creatorvan Suijlekom, Walter D.
dc.date2006-10-12
dc.date.accessioned2026-07-07T11:27:57Z
dc.date.available2026-07-07T11:27:57Z
dc.descriptionWe study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and non-abelian case respectively) are compatible with the Hopf algebra structure, in that they generate a Hopf ideal. Consequently, the quotient Hopf algebra is well-defined and has those identities built in. This provides a purely combinatorial and rigorous proof of compatibility of the Slavnov-Taylor identities with renormalization.
dc.description24 pages; uses feynmf
dc.identifierhttps://arxiv.org/abs/hep-th/0610137
dc.identifierhttp://arxiv.org/abs/hep-th/0610137
dc.identifierCommun.Math.Phys.276:773-798,2007
dc.identifierdoi:10.1007/s00220-007-0353-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196295
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleRenormalization of gauge fields: A Hopf algebra approach
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