Feynman graph polynomials
High Energy Physics - Phenomenology
2015-05-18 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1002.3458,
title = {Feynman graph polynomials},
author = {Christian Bogner and Stefan Weinzierl},
journal= {arXiv preprint arXiv:1002.3458},
year = {2015}
}
Comments
35 pages, references added