Communications in Mathematical Physics

, Volume 267, Issue 1, pp 181–225 | Cite as

On Motives Associated to Graph Polynomials

  • Spencer BlochEmail author
  • Hélène Esnault
  • Dirk Kreimer


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.


Exact Sequence Span Tree Projective Space Hopf Algebra Exceptional Divisor 
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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Spencer Bloch
    • 1
    Email author
  • Hélène Esnault
    • 2
  • Dirk Kreimer
    • 3
    • 4
  1. 1.Dept. of MathematicsUniversity of ChicagoChicagoUSA
  2. 2.Mathematik, FB6, MathematikUniversität Duisburg-EssenEssenGermany
  3. 3.IHESBures sur YvetteFrance.
  4. 4.Boston UniversityBostonUSA

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