On motives associated to graph polynomials. (English) Zbl 1109.81059
Calculations of Feynman integrals arising in perturbative quantum field theory reveal interesting patterns of zeta and multiple zeta values. Clearly, these are motivic in origin. In this paper the authors study the motive, restricting the attention to a subclass of graphs in four-dimensional scalar field theory.
Reviewer: T. C. Mohan (Dehra Dun)
MSC:
| 81T18 | Feynman diagrams |
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
| 11M41 | Other Dirichlet series and zeta functions |
| 14F25 | Classical real and complex (co)homology in algebraic geometry |
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