The exchange graph and variations of the ratio of the two Symanzik polynomials

DOI10.4171/AIHPD/68zbMath1414.05151arXiv1609.05809OpenAlexW2963879978WikidataQ128183813 ScholiaQ128183813MaRDI QIDQ2421729

Omid Amini

Publication date: 18 June 2019

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05809

zbMATH Keywords

exchange graphFeynman amplitudesSymanzik polynomialsspanning trees and forestsheight pairing on Riemann surfaces

Mathematics Subject Classification ID

Trees (05C05) Graph polynomials (05C31) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Period matrices, variation of Hodge structure; degenerations (32G20) Combinatorial aspects of matroids and geometric lattices (05B35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Cites Work

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• Biextensions and heights associated to curves of odd genus
• A Combinatorial Proof of the All Minors Matrix Tree Theorem
• SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES
• Feynman amplitudes and limits of heights

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