Renormalization of gauge fields : A Hopf algebra approach

  • Walter D. van Suijlekom, Oktober
  • Published 2006


We study the Connes–Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov–Taylor identities (in the abelian and non-abelian case respectively) are compatible with the Hopf algebra structure, in that they generate a Hopf ideal. Consequently, the quotient Hopf algebra is well-defined and has… (More)

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