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On Motives Associated to Graph Polynomials

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Abstract

The appearance of multiple zeta values in anomalous dimensions and β-functions of renormalizable quantum field theories has given evidence towards a motivic interpretation of these renormalization group functions. In this paper we start to hunt the motive, restricting our attention to a subclass of graphs in four dimensional scalar field theory which give scheme independent contributions to the above functions.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    Spencer Bloch

  2. Mathematik, FB6, Mathematik, Universität Duisburg-Essen, 45117, Essen, Germany

    Hélène Esnault

  3. IHES, 91440, Bures sur Yvette, France.

    Dirk Kreimer

  4. Boston University, Boston, MA, 02215, USA

    Dirk Kreimer

Authors
  1. Spencer Bloch
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  2. Hélène Esnault
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  3. Dirk Kreimer
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Correspondence to Spencer Bloch.

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Communicated by J.Z. Imbrie

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Bloch, S., Esnault, H. & Kreimer, D. On Motives Associated to Graph Polynomials. Commun. Math. Phys. 267, 181–225 (2006). https://doi.org/10.1007/s00220-006-0040-2

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  • DOI: https://doi.org/10.1007/s00220-006-0040-2

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