Renormalization of gauge fields using Hopf algebras

Details Renormalization of gauge fields using Hopf algebras Renormalization of gauge fields using Hopf algebras

2008-01-21

arxiv.org/abs/0801.3170v1

Physics

Mathematical Physics

16 pages, 1 figure; uses feynmp. To appear in "Recent Developments in Quantum Field Theory". Eds. B. Fauser, J. Tolksdorf and

Scientific paper

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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