Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces
Probability
2025-05-06 v4 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2201.05882,
title = {Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces},
author = {Antoine Dahlqvist and Thibaut Lemoine},
journal= {arXiv preprint arXiv:2201.05882},
year = {2025}
}
Comments
Minor update amending in particular a mistake in Theorem 3.1 regarding the partition function's limit in type D, zero genus case