Gürdoğan, Ömer (2021) From integrability to the Galois coaction on Feynman periods. Physical Review D, 103 (8), [L081703]. (doi:10.1103/physrevd.103.l081703).
Abstract
We argue that the description of Feynman loop integrals as integrable systems is intimately connected with their motivic properties and the action of the Cosmic Galois Group. We show how in the case of a family of fishnet graphs, coaction relations between them follow directly from iterative constructions of Q-functions in the quantum spectral curve formalism. Using this observation we conjecture a “differential equation for numbers” that enter these periods.
This record has no associated files available for download.
More information
Identifiers
Catalogue record
Export record
Altmetrics
Contributors
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.