arXiv:0901.4716·v3·High Energy Physics — Theory
Feynman Diagrams, Differential Reduction, and Hypergeometric Functions
M. Yu. Kalmykov (Hamburg U., Inst. Theor. Phys. II & Dubna, JINR) · V. V. Bytev (Hamburg U., Inst. Theor. Phys. II & Dubna, JINR) Bernd A. Kniehl (Hamburg U., Inst. Theor. Phys. II) · B.F.L. Ward (Baylor U.) · S.A. Yost (Citadel Military Coll.)
Abstract
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.
Comments: 7 pages, LaTeX, PoS style; based on a talk given by M.Kalmykov at ACAT 2008, Erice, Italy, Nov. 3-7, 2008; v2: few references added; v3: few references and some details added and conclusion is improved