Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces

TL;DR

This paper analyzes the large N limit of the Yang-Mills partition function and Wilson loops on compact surfaces, demonstrating convergence for various loops within the framework of classical groups.

Contribution

It provides a detailed computation of the large N limit for Yang-Mills measures on compact surfaces, extending understanding of Wilson loops in this setting.

Findings

Convergence of Wilson loops on topological discs and simple loops

Large N limit behavior for classical groups on compact surfaces

Extension of Yang-Mills measure analysis to higher genus surfaces

Abstract

We compute the Large N limit of several objects related to the two-dimensional Euclidean Yang-Mills measure on compact connected orientable surfaces of genus larger or equal to one, with a structure group taken among the classical groups of order N. Our result shows the convergence of all Wilson loops for all loops within a topological disc and all simple loops.