Light-cone limits of large rectangular fishnets - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of High Energy Physics Année : 2023

Light-cone limits of large rectangular fishnets

Résumé

Basso-Dixon integrals evaluate rectangular fishnets -- Feynman graphs with massless scalar propagators which form a $m\times n$ rectangular grid -- which arise in certain one-trace four-point correlators in the `fishnet' limit of $\mathcal{N}=4$ SYM. Recently, Basso {\it et al} explored the thermodynamical limit $m\to\infty$ 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 $n$.

Dates et versions

hal-03894975 , version 1 (12-12-2022)

Identifiants

Citer

Ivan Kostov. Light-cone limits of large rectangular fishnets. Journal of High Energy Physics, 2023, 03, pp.156. ⟨10.1007/JHEP03(2023)156⟩. ⟨hal-03894975⟩
16 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More