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Free Energies and fluctuations for the unitary Brownian motion

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posted on 2023-06-09, 17:13 authored by Antoine DahlqvistAntoine Dahlqvist
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Communications in Mathematical Physics

ISSN

0010-3616

Publisher

Springer

Issue

2

Volume

348

Page range

395-444

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2019-03-25

First Open Access (FOA) Date

2019-03-25

First Compliant Deposit (FCD) Date

2019-03-22

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