Phase structure of matrix models through orthogonal polynomials
- 1 January 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (1) , 1-6
- https://doi.org/10.1088/0305-4470/21/1/011
Abstract
In the non-perturbative regime, matrix models display a large-N phase transition. For finite but large N, the transition is anticipated by strong oscillations in some coefficients in the recurrence relations for the orthogonal polynomials that allow the calculation of the partition function. The author shows how to perform the limit, requiring the definition of different interpolating functions according to the parity of polynomials, in the cases of a single or two interacting matrices.Keywords
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