Feynman graph polynomials

Details Feynman graph polynomials Feynman graph polynomials

2010-02-18

arxiv.org/abs/1002.3458v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

35 pages, references added

Scientific paper

The integrand of any multi-loop integral is characterised after Feynman parametrisation by two polynomials. In this review we summarise the properties of these polynomials. Topics covered in this article include among others: Spanning trees and spanning forests, the all-minors matrix-tree theorem, recursion relations due to contraction and deletion of edges, Dodgson's identity and matroids.

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