Scaling self-similar formulation of the string equations of the hermitian one-matrix model
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 mod...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1993 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59706 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/59706 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 2-Dimensional quantum-Gravity Física-Modelos matemáticos Física matemática |
| Sumario: | 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. |
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