Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model
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 schemePartially supported by MEC project FIS2005-00319 and ESF programme MISGAM.
Journal of Physics A Mathematical General
- Pub Date:
- November 2007
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- 22 pages