D-module techniques for solving differential equations in the context of Feynman integrals
2024 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 114, no 3, article id 87Article in journal (Refereed) Published
Abstract [en]
Feynman integrals are solutions to linear partial differential equations with polynomial coefficients. Using a triangle integral with general exponents as a case in point, we compare D-module methods to dedicated methods developed for solving differential equations appearing in the context of Feynman integrals, and provide a dictionary of the relevant concepts. In particular, we implement an algorithm due to Saito, Sturmfels, and Takayama to derive canonical series solutions of regular holonomic D-ideals, and compare them to asymptotic series derived by the respective Fuchsian systems.
Place, publisher, year, edition, pages
Springer Nature , 2024. Vol. 114, no 3, article id 87
Keywords [en]
Feynman integrals, D-modules, Differential equations, Conformal symmetry
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-350156DOI: 10.1007/s11005-024-01835-7ISI: 001252373800001Scopus ID: 2-s2.0-85196507834OAI: oai:DiVA.org:kth-350156DiVA, id: diva2:1885394
Note
QC 20240723
2024-07-232024-07-232024-07-23Bibliographically approved