Properties of Feynman graph polynomials

Details Properties of Feynman graph polynomials Properties of Feynman graph polynomials

2010-06-21

arxiv.org/abs/1006.4099v1

Nucl.Phys.Proc.Suppl.205-206:116-121,2010

Physics

Mathematical Physics

Talk given at the International Workshop 'Loops and Legs in Quantum Field Theory' (April 25-30, 2010, W\"orlitz, Germany)

Scientific paper

10.1016/j.nuclphysbps.2010.08.02

In this talk I discuss properties of the two Symanzik polynomials which characterise the integrand of an arbitrary multi-loop integral in its Feynman parametric form. Based on the construction from spanning forests and Laplacian matrices, Dodgson's relation is applied to derive factorisation identities involving both polynomials. An application of Whitney's 2-isomorphism theorem on matroids is discussed.

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