arXiv:0801.3170 Abstract | arXiv Analytics

arXiv:0801.3170 [math-ph]Abstract References Reviews Resources

Renormalization of gauge fields using Hopf algebras

Published 2008-01-21Version 1

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.

Comments: 16 pages, 1 figure; uses feynmp. To appear in "Recent Developments in Quantum Field Theory". Eds. B. Fauser, J. Tolksdorf and E. Zeidler. Birkhauser Verlag, Basel 2008

DOI: 10.1007/978-3-7643-8736-5_8

Categories: math-ph, math.MP

Keywords: gauge fields, hopf algebras, renormalization, non-abelian gauge theories, hopf algebraic structure

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