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Differential Equations for Feynman Integrals

Feynman integrals are notoriously difficult multidimensional integrals arising in many physical problems. We present various approaches for determining the differential equations satisfied by Feynman integrals. The approach is based on the analysis of the algebraic geometry associated with the Feynm...

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Detalles Bibliográficos
Autor principal: Vanhove, Pierre
Publicado: 2021
Acceso en línea:https://dx.doi.org/10.1145/3452143.3465512
http://cds.cern.ch/record/2798586
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author Vanhove, Pierre
author_facet Vanhove, Pierre
author_sort Vanhove, Pierre
collection CERN
description Feynman integrals are notoriously difficult multidimensional integrals arising in many physical problems. We present various approaches for determining the differential equations satisfied by Feynman integrals. The approach is based on the analysis of the algebraic geometry associated with the Feynman integrals and the use of the creative telescoping algorithm.
id cern-2798586
institution Organización Europea para la Investigación Nuclear
publishDate 2021
record_format invenio
spelling cern-27985862021-12-21T20:18:21Zdoi:10.1145/3452143.3465512http://cds.cern.ch/record/2798586Vanhove, PierreDifferential Equations for Feynman IntegralsFeynman integrals are notoriously difficult multidimensional integrals arising in many physical problems. We present various approaches for determining the differential equations satisfied by Feynman integrals. The approach is based on the analysis of the algebraic geometry associated with the Feynman integrals and the use of the creative telescoping algorithm.CERN-TH-2021-069oai:cds.cern.ch:27985862021
spellingShingle Vanhove, Pierre
Differential Equations for Feynman Integrals
title Differential Equations for Feynman Integrals
title_full Differential Equations for Feynman Integrals
title_fullStr Differential Equations for Feynman Integrals
title_full_unstemmed Differential Equations for Feynman Integrals
title_short Differential Equations for Feynman Integrals
title_sort differential equations for feynman integrals
url https://dx.doi.org/10.1145/3452143.3465512
http://cds.cern.ch/record/2798586
work_keys_str_mv AT vanhovepierre differentialequationsforfeynmanintegrals