2015/09/30 by Marcel Golz, Erik Panzer, Oliver Schnetz · 22 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #Complex plane #Field (mathematics) #Graphical display #Graphical model #Parametric statistics #Planar #Plane (geometry) #Representation (politics) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/s11005-016-0935-6
published in Letters in Mathematical Physics 107(6), 1177-1192 (Springer Science+Business Media) · v2: extended introduction, minor changes in notation and correction of misprints
openalex created_date 2016/06/24 · openalex publication_date 2016/12/20 · arxiv created 2017/06/02 · arxiv updated 2017/06/06 · openalex updated_date 2026/08/05
Graphical functions are positive functions on the punctured complex plane ℂ∖\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.