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Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

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arxiv 0901.4716 v3 pith:3VPVK2MC submitted 2009-01-29 hep-th hep-phmath-phmath.APmath.MP

M. Yu. Kalmykov (Hamburg U. , Inst. Theor. Phys. II & Dubna , JINR) , V. V. Bytev (Hamburg U. , JINR) Bernd A. Kniehl (Hamburg U. , Inst. Theor. Phys. II) , B.F.L. Ward (Baylor U.) , S.A. Yost (Citadel Military Coll.) This is my paper · ORCID
classification hep-thhep-phmath-phmath.APmath.MP
keywords feynmandiagramshypergeometricadvantagesapproachargumentscasediagram
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We will present some (formal) arguments that any Feynman diagram can be understood as a particular case of a Horn-type multivariable hypergeometric function. The advantages and disadvantages of this type of approach to the evaluation of Feynman diagrams is discussed.

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  1. Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections

    hep-th 2024-11 conditional novelty 6.0 of 10

    Scalar and vector Feynman integrals on the sphere are mapped to A-hypergeometric (GKZ) systems via embedding space propagators, enabling algorithmic higher-loop computations.

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