Feynman Diagrams, Differential Reduction, and Hypergeometric Functions
High Energy Physics - Theory
2014-11-18 v3 High Energy Physics - Phenomenology
Mathematical Physics
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.0901.4716,
title = {Feynman Diagrams, Differential Reduction, and Hypergeometric Functions},
author = {M. Yu. Kalmykov and V. V. Bytev and Bernd A. Kniehl and B. F. L. Ward and S. A. Yost},
journal= {arXiv preprint arXiv:0901.4716},
year = {2014}
}
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