  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.
