This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean
Yang-Mills measure on all orientable compact surfaces of genus larger or equal to one, with …

Abstract We study the Yang–Mills measure on the sphere with unitary structure group. In the
limit where the structure group has high dimension, we show that the traces of loop …

We show that the Laplace transforms of traces of words in independent unitary Brownian
motions converge towards an analytic function on a non trivial disc. These results allow one …

We compute the large N limit of several objects related to the two-dimensional Euclidean
Yang–Mills measure on closed, connected, orientable surfaces Σ with genus g≥ 1, when a …

The analysis of the large-N limit of U (N) Yang–Mills theory on a surface proceeds in two
stages: the analysis of the Wilson loop functional for a simple closed curve and the reduction …

We define a family of diffeomorphism-invariant models of random connections on principal G-
bundles over the plane, whose curvatures are concentrated on singular points. We study the …

Abstract Makeenko and Migdal (Phys Lett B 88 (1): 135–137, 1979) gave heuristic identities
involving the expectation of the product of two Wilson loop functionals associated to splitting …

The aim of this article is to study some asymptotics of a natural model of random ramified
coverings on the disk of degree N. We prove that the monodromy field, called also the …

We study planar random holonomy fields which are processes indexed by paths on the
plane which behave well under the concatenation and orientation-reversing operations on …

We study planar random holonomy fields which are processes indexed by paths on the
plane which behave well under the concatenation and orientation-reversing operations on …