Parquet Approximation in Large $N$ Matrix Theories

TL;DR

This paper investigates the parquet approximation in large N matrix theories, demonstrating through numerical calculations that it closely matches exact results in the large N limit.

Contribution

It introduces and validates the parquet approximation as an effective method for large N matrix models through numerical comparison with exact solutions.

Findings

Parquet approximation closely matches exact results at large N.

Numerical calculations confirm the validity of the approximation.

The method provides a reliable tool for analyzing matrix models.

Abstract

A parquet approximation (generalized ladder diagrams) in matrix models is considered. By means of numerical calculations we demonstrate that in the large $N$ limit the parquet approximation gives an excellent agreement with exact results.