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Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model

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http://dx.doi.org/10.1088/1751-8113/40/47/013
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Publication Date
2007-11-23
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Medina Reus, Elena
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IOP Publishing Ltd
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Abstract
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
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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.
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Física-Modelos matemáticos , Física matemática
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https://hdl.handle.net/20.500.14352/51627
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