Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy

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dc.creatorTeodorescu, R.
dc.creatorBettelheim, E.
dc.creatorAgam, O.
dc.creatorZabrodin, A.
dc.creatorWiegmann, P.
dc.date2004-07-02
dc.date.accessioned2026-07-07T04:17:07Z
dc.date.available2026-07-07T04:17:07Z
dc.descriptionWe continue the analysis of the spectral curve of the normal random matrix ensemble, introduced in an earlier paper. Evolution of the full quantum curve is given in terms of compatibility equations of independent flows. The semiclassical limit of these flows is expressed through canonical differential forms of the spectral curve. We also prove that the semiclassical limit of the evolution equations is equivalent to Whitham hierarchy.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0407017
dc.identifierhttp://arxiv.org/abs/hep-th/0407017
dc.identifierNucl.Phys. B700 (2004) 521-532
dc.identifierdoi:10.1016/j.nuclphysb.2004.08.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52628
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleSemiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy
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