Numerical Study of the Double Scaling Limit in Two-Dimensional Large N Reduced Model

TL;DR

This paper investigates the two-dimensional Eguchi-Kawai model, revealing a novel double scaling limit through Monte Carlo simulations, which differs from the known planar limit and offers insights into nonperturbative string theory models.

Contribution

It demonstrates the existence of a new double scaling limit in the two-dimensional Eguchi-Kawai model via numerical simulations, expanding understanding of large N limits in matrix models.

Findings

Identification of a new double scaling limit through simulations

The model's large N behavior differs from the planar limit

Implications for nonperturbative string theory models

Abstract

We study the two-dimensional Eguchi-Kawai model as a toy model of the IIB matrix model, which has been recently proposed as a nonperturbative definition of the type IIB superstring theory. While the planar limit of the model is known to reproduce the two-dimensional Yang-Mills theory, we find through Monte Carlo simulation that the model allows a different large N limit, which can be considered as the double scaling limit in matrix models.