Holonomic systems of linear differential equations and Feynman integrals

DOI10.2977/prims/1195196602zbMath0449.35095OpenAlexW2041291224MaRDI QIDQ1147307

Takahiro Kawai, Masaki Kashiwara

Publication date: 1977

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195196602

zbMATH Keywords

Feynman integralsholonomic systems of linear differential equationsLandau variety

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (13)

Holonomic representation of biadjoint scalar amplitudes ⋮ Symbol alphabets from the Landau singular locus ⋮ FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS ⋮ Macaulay matrix for Feynman integrals: linear relations and intersection numbers ⋮ Micro-analytic structure of the S-matrix and related functions ⋮ Kazhdan-Lusztig conjecture and holonomic systems ⋮ Cohen-Macaulay property of Feynman integrals ⋮ GKZ-hypergeometric systems for Feynman integrals ⋮ Feynman integral relations from parametric annihilators ⋮ Holonomic character and local monodromy structure of Feynman integrals ⋮ A study of Feynman integrals by micro-differential equations ⋮ Dimension cohomologique locale des modules fuchsiens ⋮ Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

Cites Work

• Micro-analytic structure of the S-matrix and related functions
• Micro-hyperbolic pseudo-differential operators. I
• B-functions and holonomic systems. Rationality of roots of B-functions
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