Double scaling limit in the random matrix model: the Riemann-Hilbert approach

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dc.creatorBleher, Pavel
dc.creatorIts, Alexander
dc.date2002-01-02
dc.date2002-01-04
dc.date.accessioned2026-07-07T04:28:53Z
dc.date.available2026-07-07T04:28:53Z
dc.descriptionWe prove the existence of the double scaling limit in the unitary matrix model with quartic interaction, and we show that the correlation functions in the double scaling limit are expressed in terms of the integrable kernel determined by the psi-function for the Hastings-McLeod solution to the Painlevé II equation. The proof is based on the Riemann-Hilbert approach.
dc.description74 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0201003
dc.identifierhttp://arxiv.org/abs/math-ph/0201003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56960
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleDouble scaling limit in the random matrix model: the Riemann-Hilbert approach
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