• Corpus ID: 234482792

Algebraic Interplay between Renormalization and Monodromy

  title={Algebraic Interplay between Renormalization and Monodromy},
  author={Dirk Kreimer and Karen A. Yeats},
We investigate combinatorial and algebraic aspects of the interplay between renormalization and monodromies for Feynman amplitudes. We clarify how extraction of subgraphs from a Feynman graph interacts with putting edges onshell or with contracting them to obtain reduced graphs. Graph by graph this leads to a study of cointeracting bialgebras. One bialgebra comes from extraction of subgraphs and hence is needed for renormalization. The other bialgebra is an incidence bialgebra for edges put… 
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