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The double scaling limit method in the Toda hierarchy

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Martínez Alonso, Luis and Medina Reus, Elena (2008) The double scaling limit method in the Toda hierarchy. Journal of physics A: Mathematical and Theoretical, 41 (33). ISSN 1751-8113

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Official URL: http://dx.doi.org/10.1088/1751-8113/41/33/335202




Abstract

Critical points of semiclassical expansions of solutions to the dispersionful Toda hierarchy are considered and a double scaling limit method of regularization is formulated. The analogues of the critical points characterized by the strong conditions in the Hermitian matrix model are analysed and the property of doubling of equations is proved. A wide family of sets of critical points is introduced and the corresponding double scaling limit expansions are discussed.


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) and the European Science Foundation (MISGAM programme) for their support.

Uncontrolled Keywords:Matrix models; Integrable hierarchies; Quantum-gravity; Universality; Equations; Strings; 1st
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34275
Deposited On:17 Nov 2015 19:20
Last Modified:10 Dec 2018 15:09

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