Advances in Theoretical and Mathematical Physics
Volume 22 (2018)
Number 2
Dual graph polynomials and a -face formula
Pages: 395 – 427
DOI: https://dx.doi.org/10.4310/ATMP.2018.v22.n2.a3
Author
Dmitry Doryn (IBS Center for Geometry and Physics, Pohang, Gyeongbuk, Korea)
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.
Published 3 October 2018