Renormalization of gauge fields using Hopf algebras
classification
🧮 math-ph
math.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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