Large-N behaviors of the IIB matrix model and the regularized Schild models

TL;DR

This paper investigates how correlation functions in the bosonic IIB matrix model and regularized Schild models depend on the size parameter N, revealing different behaviors and divergence properties.

Contribution

It provides the first comparative analysis of N-dependence in the IIB matrix model and regularized Schild models using Monte Carlo simulations.

Findings

Correlation functions show different N-dependence in the models.

Eigenvalue distributions diverge logarithmically in the Schild model.

N-dependence in the matrix model differs from that in the Schild models.

Abstract

We evaluate $N$ dependences of correlation functions in the bosonic part of the IIB matrix model by the Monte Carlo method. We also evaluate those in two sorts of regularized Schild models and find that the $N$ dependences are different from those in the matrix model. In particular, the distribution of the eigenvalues are logarithmically divergent in the regularized Schild model when $g^2N$ is fixed.