On Motives Associated to Graph Polynomials

@inproceedings{ESNAULT2005OnMA,
  title={On Motives Associated to Graph Polynomials},
  author={H{\'E}L{\`E}NE ESNAULT and Dirk Kreimer},
  year={2005}
}
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. 
Highly Influential
This paper has highly influenced 16 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 68 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
53 Citations
12 References
Similar Papers

Citations

Publications citing this paper.

68 Citations

051015'08'11'14'17
Citations per Year
Semantic Scholar estimates that this publication has 68 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Groupes fondamentaux motiviques de Tate mixte

  • P. Deligne, A. Goncharov
  • Ann. Sci. Éc. Norm. Sup. (4)
  • 2005
1 Excerpt

Multiple zeta motives and moduli spaces M0,n

  • A. Goncharov, Y. Manin
  • Compos. Math
  • 2004
1 Excerpt

Cohomology of local systems on the complement of hyperplanes

  • H. Esnault, V. Schechtman, E. Viehweg
  • Invent. math
  • 1992
1 Excerpt

Régulateurs, Seminar Bourbaki, Vol. 1984/85

  • C. Soulé
  • Astrisque No
  • 1986
2 Excerpts

Cohomologie de SLn et valeurs de fonctions zêta aux points entiers, Ann

  • A. Borel
  • Scuola Norm. Sup. Pisa Cl. Sci
  • 1977
2 Excerpts

Similar Papers

Loading similar papers…