Spanning forest polynomials and the transcendental weight of Feynman graphs

Francis Brown; Karen Yeats

Spanning forest polynomials and the transcendental weight of Feynman graphs

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0910.5429 v1 pith:VIRTLBOH submitted 2009-10-28 math-ph math.MP

Spanning forest polynomials and the transcendental weight of Feynman graphs

Francis Brown , Karen Yeats This is my paper

classification math-ph math.MP

keywords graphstranscendentalweightfeynmanforestpolynomialsspanningcertain

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

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.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Graph integrals, Feynman periods, and single-valued multiple zeta values
math.QA 2026-07 conditional novelty 7.0

Canonical integrals of graphs with E=2V−2 equal RW integrals and evaluate to single-valued multiple zeta values, which are shown to lie in the space of Feynman periods.