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The double scaling limit method in the Toda hierarchy



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Martínez Alonso, Luis y 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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URL Oficial: http://dx.doi.org/10.1088/1751-8113/41/33/335202


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.

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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.

Palabras clave:Matrix models; Integrable hierarchies; Quantum-gravity; Universality; Equations; Strings; 1st
Materias:Ciencias > Física > Física-Modelos matemáticos
Ciencias > Física > Física matemática
Código ID:34275
Depositado:17 Nov 2015 19:20
Última Modificación:15 Dic 2015 11:41

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