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Scaling self-similar formulation of the string equations of the hermitian one-matrix model

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Mañas Baena, Manuel (1993) Scaling self-similar formulation of the string equations of the hermitian one-matrix model. Physics letters B, 317 (3). pp. 341-345. ISSN 0370-2693

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Official URL: http://dx.doi.org/10.1016/0370-2693(93)91005-8




Abstract

The string equation appearing in the double scaling limit of the Hermitian one–matrix model, which corresponds to a Galilean self–similar condition for the KdV hierarchy, is reformulated as a scaling self–similar condition for the Ur–KdV hierarchy. A non– scaling limit analysis of the one–matrix model has led to the complexified NLS hierarchy and a string equation. We show that this corresponds to the Galilean self– similarity condition for the AKNS hierarchy and also its equivalence to a scaling self– similar condition for the Heisenberg ferromagnet hierarchy.


Item Type:Article
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©Elsevier Science BV.

Uncontrolled Keywords:2-Dimensional quantum-Gravity
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:32534
Deposited On:27 Jul 2015 09:49
Last Modified:10 Dec 2018 15:10

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