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arXiv · 1508.03484

Dual Graph Polynomials and a 4-face Formula

Dmitry Doryn
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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 $c_2$ invariant is the same for all 4 Feynman period representations (position, momentum, parametric and dual parametric) for any physically relevant graph.

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Dmitry Doryn. 2015-08-14. Dual Graph Polynomials and a 4-face Formula. https://arxiv.org/abs/1508.03484

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