Double scaling limit of the prismatic tensor model

TL;DR

This paper investigates the diagrammatic structure and double scaling limit of a prismatic tensor model, providing explicit calculations of next-to-leading order graphs and the two-point function in the limit.

Contribution

It introduces a detailed analysis of the prismatic tensor model's double scaling limit using the intermediate field method and combinatorial tools, expanding understanding of its $1/N$ expansion.

Findings

Explicit next-to-leading order Feynman graphs identified

Two-point function computed in the double scaling limit

Enhanced understanding of the model's $1/N$ expansion structure

Abstract

In S. Giombi, I. Klebanov, F. Popov, S. Prakash and G. Tarnopolsky, {\it Phys. Rev.} {\bf D} 98 (2018) 10, 105005, a prismatic tensor model was introduced. We study here the diagrammatics and the double scaling limit of this model, using the intermediate field method. We explicitly exhibit the next-to-leading order Feynman graphs in the $1/N$ expansion. Using appropriate combinatorial tools, we further study the general term of the $1/N$ expansion and we compute the $2-$point function in the double scaling limit.