A Hopf algebra deformation approach to renormalization

Details A Hopf algebra deformation approach to renormalization A Hopf algebra deformation approach to renormalization

2003-07-11

arxiv.org/abs/hep-th/0307112v1

Physics

High Energy Physics

High Energy Physics - Theory

AMS-LaTex, 8 pages

Scientific paper

We investigate the relation between Connes-Kreimer Hopf algebra approach to renomalization and deformation quantization. Both approaches rely on factorization, the correspondence being established at the level of Wiener-Hopf algebras, and double Lie algebras/Lie bialgebras, via r-matrices. It is suggested that the QFTs obtained via deformation quantization and renormalization correspond to each other in the sense of Kontsevich/Cattaneo-Felder.

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