Journal title
Letters in Mathematical Physics
DOI
10.1007/s11005-016-0935-6
Last updated
2024-04-10T02:32:37.23+01:00
Abstract
Graphical functions are positive functions on the punctured complex plane
$\mathbb{C}\setminus\{0,1\}$ 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.
$\mathbb{C}\setminus\{0,1\}$ 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.
Symplectic ID
572760
Download URL
http://arxiv.org/abs/1509.07296
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Publication type
Journal Article
Publication date
20 Dec 2016