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Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model



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Martínez Alonso, Luis and Medina Reus, Elena (2007) Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model. Journal of physics A: Mathematical and theoretical, 40 (47). pp. 14223-14241. ISSN 1751-8113

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Official URL: http://dx.doi.org/10.1088/1751-8113/40/47/013


An iterative algorithm for determining a class of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This class includes the solution which underlies the large N-limit of the Hermitian matrix model in the one-cut case. It is also shown how the double scaling limit can be naturally formulated in this scheme

Item Type:Article
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©IOP Publishing Ltd.
The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2005-00319) for its finantial support. This work is also part of the MISGAM programme of the European Science Foundation.

Uncontrolled Keywords:Integrable hierarchies; Orthogonal polynomials; Discrete Kp; Universality; Equations; Limit; Asymptotics; Gravity; Growth
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34149
Deposited On:17 Nov 2015 18:52
Last Modified:10 Dec 2018 15:09

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