Picard-Fuchs equations for Feynman integrals

DOI10.1007/S00220-013-1838-3zbMATH Open1285.81029arXiv1212.4389OpenAlexW3099200082MaRDI QIDQ2439701

Author name not available (Why is that?)

Publication date: 17 March 2014

Published in: (Search for Journal in Brave)

Abstract: We present a systematic method to derive an ordinary differential equation for any Feynman integral, where the differentiation is with respect to an external variable. The resulting differential equation is of Fuchsian type. The method can be used within fixed integer space-time dimensions as well as within dimensional regularisation. We show that finding the differential equation is equivalent to solving a linear system of equations. We observe interesting factorisation properties of the D-dimensional Picard-Fuchs operator when D is specialised to integer dimensions.

Full work available at URL: https://arxiv.org/abs/1212.4389

Mathematics Subject Classification ID

No records found.

This page was built for publication: Picard-Fuchs equations for Feynman integrals

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2439701)