Spanning forest polynomials and the transcendental weight of Feynman graphs

Details Spanning forest polynomials and the transcendental weight of Feynman graphs Spanning forest polynomials and the transcendental weight of Feynman graphs

2009-10-28

arxiv.org/abs/0910.5429v1

Commun.Math.Phys.301:357-382,2011

Physics

Mathematical Physics

30 pages

Scientific paper

10.1007/s00220-010-1145-1

We give combinatorial criteria for predicting the transcendental weight of
Feynman integrals of certain graphs in $\phi^4$ 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.

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