Dual Graph Polynomials and a 4-face Formula
Algebraic Geometry
2015-08-17 v1
Abstract
We study the dual graph polynomials and the case when a Feynman graph has no triangles but has a 4-face. This leads to the proof of the duality-admissibility of all graphs up to 18 loops. As a consequence, the invariant is the same for all 4 Feynman period representations (position, momentum, parametric and dual parametric) for any physically relevant graph.
Cite
@article{arxiv.1508.03484,
title = {Dual Graph Polynomials and a 4-face Formula},
author = {Dmitry Doryn},
journal= {arXiv preprint arXiv:1508.03484},
year = {2015}
}
Comments
31 pages, 1 figure