.png){kind=icon}
.png){kind=icon}
Return
Light-cone limits of large rectangular fishnets
.png){kind=icon}
OA
AI
DOI：10.1007/JHEP03(2023)156.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Basso-Dixon integrals evaluate rectangular fishnets - Feynman graphs with massless scalar propagators which form a m x n rectangular grid - which arise in certain one-trace four-point correlators in the 'fishnet' limit of N = 4 SYM. Recently, Basso et al. explored the thermodynamical limit m -> infinity 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.
Keywords:
Scale and Conformal Symmetries
Large-Order Behaviour of Perturbation Theory
Renormalons
Matrix Models
1/N Expansion