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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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Official URL: http://dx.doi.org/10.1007/s00220-016-2756-y
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 |
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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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