Flow polynomials as Feynman amplitudes and their $\alpha$-representation

Eduard Yu. Lerner, Andrey P. Kuptsov, Sofya A. Mukhamedjanova

Let $G$ be a connected graph; denote by $\tau (G)$ the set of its spanning trees. Let ${\mathbb{F}}_q$ be a finite field, $s(\alpha ,G)={\sum }_{T\in \tau (G)}{\prod }_{e\in E(T)}{\alpha }_e$, where ${α_e\in \…