Large $N$ scaling and factorization in $\mathrm{SU}(N)$ Yang-Mills theory

TL;DR

This paper investigates large N scaling and factorization in SU(N) Yang-Mills theory using Wilson loops smoothed via Yang-Mills gradient flow, confirming theoretical predictions with high precision.

Contribution

It provides the first precise non-perturbative verification of large N factorization and detailed scaling behavior in SU(N) Yang-Mills theory.

Findings

Excellent 1/N^2 scaling observed up to 1/3

Non-perturbative confirmation of factorization at large N

Precise matching of Wilson loops through scale t_0

Abstract

We present results for Wilson loops smoothed with the Yang-Mills gradient flow and matched through the scale $t_0$. They provide renormalized and precise operators allowing to test the $1/N^2$ scaling both at finite lattice spacing and in the continuum limit. Our results show an excellent scaling up to $1/N = 1/3$. Additionally, we obtain a very precise non-perturbative confirmation of factorization in the large $N$ limit.