Infinite-N limit of the eigenvalue density of Wilson loops in 2D SU(N) YM

TL;DR

This paper derives the eigenvalue density of Wilson loops in 2D SU(N) Yang-Mills theory in the infinite-N limit using saddle-point analysis, confirming a classical result from 1981.

Contribution

It provides a saddle-point derivation of the eigenvalue density in the large-N limit, connecting finite-N integral representations to known asymptotic results.

Findings

Eigenvalue density matches Durhuus and Olesen's 1981 result at infinite N

Saddle-point analysis effectively recovers known large-N behavior

Validates finite-N integral representation approach

Abstract

Starting from an integral representation for the eigenvalue density at finite N, it is shown by a saddle-point analysis that the known result (Durhuus and Olesen, 1981) can be recovered.