On Motives Associated to Graph Polynomials

  title={On Motives Associated to Graph Polynomials},
  author={H{\'E}L{\`E}NE ESNAULT and 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. 
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