English

Spanning forest polynomials and the transcendental weight of Feynman graphs

Mathematical Physics 2011-01-17 v1 math.MP

Abstract

We give combinatorial criteria for predicting the transcendental weight of Feynman integrals of certain graphs in ϕ4\phi^4 theory. By studying spanning forest polynomials, we obtain operations on graphs which are weight-preserving, and a list of subgraphs which induce a drop in the transcendental weight.

Keywords

Cite

@article{arxiv.0910.5429,
  title  = {Spanning forest polynomials and the transcendental weight of Feynman graphs},
  author = {Francis Brown and Karen Yeats},
  journal= {arXiv preprint arXiv:0910.5429},
  year   = {2011}
}

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30 pages