A study of Feynman integrals by micro-differential equations

DOI10.1007/BF01609444zbMath0392.46025WikidataQ103397246 ScholiaQ103397246MaRDI QIDQ1251785

Takahiro Kawai, Toshio Oshima, Masaki Kashiwara

Publication date: 1978

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Characteristic VarietyCuspidal SingularityExtended Landau VarietyFeynman AmplitudeFeynman IntegralsHolonomic SystemsLandau-Nakanishi SurfacesLegendre FunctionsMicro-Differential EquationsSimple DiagramsSingularity StructureSpace-Time

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Hyperfunctions, analytic functionals (46F15)

Related Items (8)

Micro-analyticity of the S-matrix and related functions ⋮ Symbol alphabets from the Landau singular locus ⋮ FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS ⋮ Meromorphic extensions of regular holonomic distributions ⋮ Unnamed Item ⋮ Discontinuity formula and Sato's conjecture ⋮ Résurgence d'un thème de Huygens-Fresnel. (The resurrection of a topic of Huygens-Fresnel) ⋮ Unnamed Item

Cites Work

• Micro-analytic structure of the S-matrix and related functions
• Holonomic systems of linear differential equations and Feynman integrals
• Micro-hyperbolic pseudo-differential operators. I
• Holonomic character and local monodromy structure of Feynman integrals
• Discontinuity formula and Sato's conjecture
• A proof of the mandelstam representation in perturbation theory
• Macroscopic Causality Conditions and Properties of Scattering Amplitudes
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