Volume 383 -
MathemAmplitudes 2019: Intersection Theory & Feynman Integrals (MA2019) -
Session 2: Intersection Theory, Integral Relations and Applications to Physics
From Diagrammar to Diagrammalgebra
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Published on:
February 15, 2022
Abstract
Analytic and algebraic properties of Feynman integrals are investigated within the de Rham theory for twisted co-homology. Linear relations, equivalent to integration-by-parts identites, differential and difference equations, as well as quadratic relations are derived by projections, using the intersection numbers. The presented results apply to the general class of Aomoto-Gel’fand-Euler integrals.
DOI: https://doi.org/10.22323/1.383.0015
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.