Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model
Abstract
An iterative algorithm for determining a type of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This type 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
Partially supported by MEC project FIS2005-00319 and ESF programme MISGAM.- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- November 2007
- DOI:
- 10.1088/1751-8113/40/47/013
- arXiv:
- arXiv:0706.0592
- Bibcode:
- 2007JPhA...4014223M
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 22 pages