Dahlqvist, Antoine (2016) Free Energies and fluctuations for the unitary Brownian motion. Communications in Mathematical Physics, 348 (2). pp. 395-444. ISSN 0010-3616

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Abstract

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 to study the asymptotic behavior of Wilson loops under the unitary Yang--Mills measure on the plane with a potential. The limiting objects obtained are shown to be characterized by equations analogue to Schwinger--Dyson's ones, named here after Makeenko and Migdal.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups:	Probability and Statistics Research Group
Subjects:	Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics > QA0274 Stochastic processes
Depositing User:	Antoine Dahlqvist
Date Deposited:	25 Mar 2019 15:04
Last Modified:	25 Mar 2019 15:04
URI:	http://srodev.sussex.ac.uk/id/eprint/82481

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