English

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

High Energy Physics - Lattice 2017-10-18 v1

Abstract

We present results for Wilson loops smoothed with the Yang-Mills gradient flow and matched through the scale t0t_0. They provide renormalized and precise operators allowing to test the 1/N21/N^2 scaling both at finite lattice spacing and in the continuum limit. Our results show an excellent scaling up to 1/N=1/31/N = 1/3. Additionally, we obtain a very precise non-perturbative confirmation of factorization in the large NN limit.

Keywords

Cite

@article{arxiv.1710.06057,
  title  = {Large $N$ scaling and factorization in $\mathrm{SU}(N)$ Yang-Mills theory},
  author = {Miguel García Vera and Rainer Sommer},
  journal= {arXiv preprint arXiv:1710.06057},
  year   = {2017}
}

Comments

8 pages, 7 figures. Presented at the 35th International Symposium on Lattice Field Theory, Granada, Spain, 18-24 June 2017 (Lattice 2017)

R2 v1 2026-06-22T22:16:13.046Z