Graphical functions in parametric space
Mathematical Physics
2017-06-06 v2 High Energy Physics - Theory
math.MP
Abstract
Graphical functions are positive functions on the punctured complex plane which arise in quantum field theory. We generalize a parametric integral representation for graphical functions due to Lam, Lebrun and Nakanishi, which implies the real analyticity of graphical functions. Moreover we prove a formula that relates graphical functions of planar dual graphs.
Keywords
Cite
@article{arxiv.1509.07296,
title = {Graphical functions in parametric space},
author = {Marcel Golz and Erik Panzer and Oliver Schnetz},
journal= {arXiv preprint arXiv:1509.07296},
year = {2017}
}
Comments
v2: extended introduction, minor changes in notation and correction of misprints