Feynman graph polynomials - INSPIRE

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Feynman graph polynomials

Feb, 2010

35 pages

Published in:

Int.J.Mod.Phys.A 25 (2010) 2585-2618

e-Print:

1002.3458 [hep-ph]

DOI:

10.1142/S0217751X10049438

View in:

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Abstract: (arXiv)

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.

Note:

35 pages, references added

review
Feynman graph
loop integral
singularity
graph theory
computer: algebra
topology
duality

References(40)

Figures(22)

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Spencer Bloch
(
- Chicago U., Dept. Math.
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Spencer Bloch
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An introduction to motivic zeta functions of motives

Yves André

- Clay Math.Proc. 12 (2010) 3-18
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The Massless higher-loop two-point function

Francis Brown
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Francis C.S. Brown
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)

e-Print:
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Francis Brown
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Paolo Aluffi
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Christoph Bergbauer
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)
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)
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Dirk Kreimer
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)

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S. Laporta
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S. Laporta
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David H. Bailey
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J. Blumlein
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Stefan Weinzierl
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Higher radiative corrections in HQET

A.G. Grozin
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