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Renormalization of gauge fields using Hopf algebras

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arxiv 0801.3170 v1 pith:F2A4525L submitted 2008-01-21 math-ph math.MP

Walter D. van Suijlekom This is my paper · ORCID
classification math-phmath.MP
keywords hopfcoproductgaugeidentitiesaccountalgebraicalgebrascloses
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We describe the Hopf algebraic structure of Feynman graphs for non-abelian gauge theories, and prove compatibility of the so-called Slavnov-Taylor identities with the coproduct. When these identities are taken into account, the coproduct closes on the Green's functions, which thus generate a Hopf subalgebra.

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  1. The algebraic structure of Dyson--Schwinger equations with multiple insertion places

    math.CO 2025-01 conditional novelty 5.0 of 10

    Provides tubing-expansion solutions to Dyson-Schwinger equations with multiple insertion places, and proves one conjecture of Nabergall while disproving another.

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