Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals
Year: 2017
Type: preprint
Abstract: We consider the question of reducibility of the differential system to normalized Fuchsian form on the Riemann sphere. The differential equations for the multiloop integrals in $ε$-form constitute a particular example of the normalized Fuchsian form. We formulate the algorithmic criterion of reducibility. We also consider the question of the proper choice of variable in the differential system suitable for its reduction to $ε$-form.
Source: arXiv (Cornell University)
Authors: Lee, Roman N., Pomeransky, Andrei A.
Institution: Budker Institute of Nuclear Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2736873556