Published November 23, 2007
| Version v1
Journal article
Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model
Creators
- 1. Departamento de Fisica Teorica II, Universidad Complutense, E28040 Madrid (Spain)
- 2. Departamento de Matematicas, Universidad de Cadiz, E11510 Puerto Real, Cadiz (Spain)
Description
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
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/47/013;
- PII
- S1751-8113(07)51924-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 47
- Journal Page Range
- p. 14223-14241
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39028867
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; EQUATIONS; HERMITIAN MATRIX; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; SEMICLASSICAL APPROXIMATION
- Descriptors DEC
- APPROXIMATIONS; CALCULATION METHODS; MATHEMATICAL LOGIC; MATRICES