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On Motives Associated to Graph Polynomials

Algebraic Geometry 2009-11-11 v1 High Energy Physics - Theory

Abstract

The appearance of multiple zeta values in anomalous dimensions and β\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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Cite

@article{arxiv.math/0510011,
  title  = {On Motives Associated to Graph Polynomials},
  author = {Spencer Bloch and Hélène Esnault and Dirk Kreimer},
  journal= {arXiv preprint arXiv:math/0510011},
  year   = {2009}
}

Comments

54 p