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

Minor update amending in particular a mistake in Theorem 3.1 regarding the partition function's limit in type D, zero genus case