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arXiv · 1708.01691

Graph Minors and the Linear Reducibility of Feynman Diagrams

Benjamin Moore·Karen Yeats
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Abstract

We look at a graph property called reducibility which is closely related to a condition developed by Brown to evaluate Feynman integrals. We show for graphs with a fixed number of external momenta, that reducibility with respect to both Symanzik polynomials is graph minor closed. We also survey the known forbidden minors and the known structural results. This gives some structural information on those Feynman diagrams which are reducible.

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Benjamin Moore, Karen Yeats. 2017-08-27. Graph Minors and the Linear Reducibility of Feynman Diagrams. https://arxiv.org/abs/1708.01691

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