Journal title
Annales de l'Institut Henri Poincare (D) Combinatorics, Physics and their Interactions
DOI
10.4171/AIHPD/126
Last updated
2024-04-12T10:40:29.85+01:00
Abstract
We study a rational matroid invariant, obtained as the tropicalization of the
Feynman period integral. It equals the volume of the polar of the matroid
polytope and we give efficient formulas for its computation. This invariant is
proven to respect all known identities of Feynman integrals for graphs. We
observe a strong correlation between the tropical and transcendental integrals,
which yields a method to approximate unknown Feynman periods.
Feynman period integral. It equals the volume of the polar of the matroid
polytope and we give efficient formulas for its computation. This invariant is
proven to respect all known identities of Feynman integrals for graphs. We
observe a strong correlation between the tropical and transcendental integrals,
which yields a method to approximate unknown Feynman periods.
Symplectic ID
1049129
Download URL
http://arxiv.org/abs/1908.09820v2
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