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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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Additional Information: | ©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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