Matrix Representation of Renormalization in Perturbative Quantum Field Theory

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dc.creatorEbrahimi-Fard, K.
dc.creatorGuo, L.
dc.date2005-08-21
dc.date.accessioned2026-07-07T04:18:32Z
dc.date.available2026-07-07T04:18:32Z
dc.descriptionWe formulate the Hopf algebraic approach of Connes and Kreimer to renormalization in perturbative quantum field theory using triangular matrix representation. We give a Rota-Baxter anti-homomorphism from general regularized functionals on the Feynman graph Hopf algebra to triangular matrices with entries in a Rota-Baxter algebra. For characters mapping to the group of unipotent triangular matrices we derive the algebraic Birkhoff decomposition for matrices using Spitzer's identity. This simple matrix factorization is applied to characterize and calculate perturbative renormalization.
dc.description44 pages, some diagrams were generated with JAXODRAW
dc.identifierhttps://arxiv.org/abs/hep-th/0508155
dc.identifierhttp://arxiv.org/abs/hep-th/0508155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53216
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleMatrix Representation of Renormalization in Perturbative Quantum Field Theory
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