Feynman diagrams as a weight system : four-loop test of a four-term relation ∗ )

@inproceedings{Broadhurst1996FeynmanDA,
  title={Feynman diagrams as a weight system : four-loop test of a four-term relation ∗ )},
  author={D. J. Broadhurst and Dirk Kreimer},
  year={1996}
}
At four loops there first occurs a test of the four-term relation derived by the second author in the course of investigating whether counterterms from subdivergence-free diagrams form a weight system. This test relates counterterms in a four-dimensional field theory with Yukawa and φ 4 interactions, where no such relation was previously suspected. Using integration by parts, we reduce each counterterm to massless two-loop two-point integrals. The four-term relation is verified, with G 1 − G 2… CONTINUE READING

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Evaluations of k - fold Euler sums : a compendium of results for arbitrary k , hep - th / 9611004 , to appear in

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