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arXiv · 1509.07296

Graphical functions in parametric space

Marcel Golz·Erik Panzer·Oliver Schnetz
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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.

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Marcel Golz, Erik Panzer, Oliver Schnetz. 2017-06-02. Graphical functions in parametric space. https://doi.org/10.1007/s11005-016-0935-6

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