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Outlook on Differential Equations for Feynman Integrals (Brief Review)

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How should modern people evaluate Feynman diagrams? This question has been receiving considerable attention in recent years. While the current answer is far from being complete, one can select several attack directions under development. One of such directions is the differential equations method. We attempt to review some of its features and outline the ideas that could help establish a more general framework.

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ACKNOWLEDGMENTS

We are grateful to A. Morozov for suggesting to think on these problems and for helpful comments and to the participants of the ITEP/MIPT working seminar for stimulating discussions.

Funding

Victor Mishnyakov acknowledges the partial support of the Russian Foundation for Basic Research (RFBR, project no. 20-01-006440) and of the Ministry of Science and Technology of Taiwan (joint project no. 21-52-52004 with RFBR).

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudny, Moscow region, Russia

    V. Mishnyakov & P. Suprun

  2. Lebedev Physics Institute, Russian Academy of Sciences, 119991, Moscow, Russia

    V. Mishnyakov

  3. Institute for Theoretical and Mathematical Physics, Moscow State University, 119991, Moscow, Russia

    V. Mishnyakov

  4. National Research Center Kurchatov Institute, 117218, Moscow, Russia

    V. Mishnyakov & P. Suprun

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  1. V. Mishnyakov
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  2. P. Suprun
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Correspondence to V. Mishnyakov.

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Mishnyakov, V., Suprun, P. Outlook on Differential Equations for Feynman Integrals (Brief Review). Jetp Lett. 115, 477–483 (2022). https://doi.org/10.1134/S0021364022100447

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