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On Motives Associated to Graph Polynomials

Spencer Bloch·Hélène Esnault·Dirk Kreimer
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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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Spencer Bloch, Hélène Esnault, Dirk Kreimer. 2005-10-01. On Motives Associated to Graph Polynomials. https://doi.org/10.1007/s00220-006-0040-2

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