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arxiv: math/0510011 · v1 · submitted 2005-10-01 · 🧮 math.AG · hep-th

On Motives Associated to Graph Polynomials

Spencer Bloch , H\'el\`ene Esnault , Dirk Kreimer This is my paper
classification 🧮 math.AG hep-th
keywords functionsfieldaboveanomalousappearanceassociatedattentionbeta
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The appearance of multiple zeta values in anomalous dimensions and $\beta$-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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