Parquet Approximation for Large N Matrix Higgs Model

TL;DR

This paper analyzes the parquet approximation in the large N matrix Higgs model, showing it closely matches exact results and can be derived from the generating functional, thus validating its effectiveness.

Contribution

It demonstrates analytically that the parquet approximation aligns well with exact results in the large N limit and derives the planar series via the generating functional.

Findings

Parquet approximation agrees with exact results in the large N limit.

The planar series can be derived from the generating functional.

Analytical validation of the parquet approximation's effectiveness.

Abstract

The parquet approximation in the matrix Higgs model is considered. We demonstrate analytically that in the large $N$ limit the parquet approximation gives an satisfying agreement with the exact results. It is shown that the parquet planar series can be derived by means of the generating functional.