Abstract
Abstract
Basso-Dixon integrals evaluate rectangular fishnets — Feynman graphs with massless scalar propagators which form a m × n rectangular grid — which arise in certain one-trace four-point correlators in the ‘fishnet’ limit of $$ \mathcal{N} $$
N
= 4 SYM. Recently, Basso et al. explored the thermodynamical limit m → ∞ with fixed aspect ratio n/m of a rectangular fishnet and showed that in general the dependence on the coordinates of the four operators is erased, but it reappears in a scaling limit with two of the operators getting close in a controlled way. In this note I investigate the most general double scaling limit which describes the thermodynamics when one of two pairs of operators become nearly light-like. In this double scaling limit, the rectangular fishnet depends on both coordinate cross ratios. I show that all singular limits of the fishnet can be attained within the double scaling limit, including the null limit with the four points approaching the cusps of a null square. A direct evaluation of the fishnet in the null limit is presented any m and n.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献