Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 107, Issue 6, Pages 1177-1192Publisher
SPRINGER
DOI: 10.1007/s11005-016-0935-6
Keywords
Perturbation theory; Graphical functions; Feynman integrals; Parametric representation
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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.
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