Feynman amplitudes and limits of heights

DOI10.1070/IM8492zbMath1354.32012arXiv1512.04862OpenAlexW3099166087MaRDI QIDQ5506678

Omid Amini, Spencer Bloch, José Ignacio Burgos Gil, Javier Fresán

Publication date: 13 December 2016

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04862

zbMATH Keywords

mixed Hodge structuresFeynman amplitudeslow-energy limitSymanzik polynomials

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Period matrices, variation of Hodge structure; degenerations (32G20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (7)

Feynman integrals and mirror symmetry ⋮ Tropical amplitudes ⋮ SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES ⋮ The exchange graph and variations of the ratio of the two Symanzik polynomials ⋮ Jumps in the height of the Ceresa cycle ⋮ Jumps in the Archimedean height ⋮ Monodromy relations from twisted homology

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