Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

B.F.L. Ward (Baylor U.); Inst. Theor. Phys. II); Inst. Theor. Phys. II & Dubna; JINR); JINR) Bernd A. Kniehl (Hamburg U.; M. Yu. Kalmykov (Hamburg U.; S.A. Yost (Citadel Military Coll.); V. V. Bytev (Hamburg U.

arxiv: 0901.4716 · v3 · pith:3VPVK2MCnew · submitted 2009-01-29 · ✦ hep-th · hep-ph· math-ph· math.AP· math.MP

Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

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

classification ✦ hep-th hep-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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Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

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