Free energies and fluctuations for the Unitary Brownian Motion
Probability
2016-10-20 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
We show that the Laplace transforms of traces of words in independant unitary Brownian motions converge towards an analytic function on a non trivial disc. This results allow to study asymptotics of Wilson loops under the unitary Yang-Mills measure on the plane. The limiting objects obtained are shown to be characterized by equations analog to Schwinger-Dyson's ones, named here after Makeenko and Migdal.
Keywords
Cite
@article{arxiv.1409.7793,
title = {Free energies and fluctuations for the Unitary Brownian Motion},
author = {Antoine Dahlqvist},
journal= {arXiv preprint arXiv:1409.7793},
year = {2016}
}