Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT

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dc.creatorEbrahimi-Fard, Kurusch
dc.creatorGuo, Li
dc.creatorKreimer, Dirk
dc.date2004-07-11
dc.date.accessioned2026-07-07T06:33:17Z
dc.date.available2026-07-07T06:33:17Z
dc.descriptionIn this article we continue to explore the notion of Rota-Baxter algebras in the context of the Hopf algebraic approach to renormalization theory in perturbative quantum field theory. We show in very simple algebraic terms that the solutions of the recursively defined formulae for the Birkhoff factorization of regularized Hopf algebra characters, i.e. Feynman rules, naturally give a non-commutative generalization of the well-known Spitzer's identity. The underlying abstract algebraic structure is analyzed in terms of complete filtered Rota-Baxter algebras.
dc.description19 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0407082
dc.identifierhttp://arxiv.org/abs/hep-th/0407082
dc.identifierJ.Phys. A37 (2004) 11037-11052
dc.identifierdoi:10.1088/0305-4470/37/45/020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99143
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.titleSpitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT
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