Dahlqvist2016_Article_FreeEnergiesAndFluctuationsFor.pdf (1.09 MB)
Free Energies and fluctuations for the unitary Brownian motion
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.
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Publication status
- Published
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- Published version
Journal
Communications in Mathematical PhysicsISSN
0010-3616Publisher
SpringerExternal DOI
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2Volume
348Page range
395-444Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
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- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-03-25First Open Access (FOA) Date
2019-03-25First Compliant Deposit (FCD) Date
2019-03-22Usage metrics
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