Finite N analysis of matrix models for an n-Ising spin on a random surface

Shinobu Hikami

Physica A: Statistical Mechanics and its Applications, 1994, vol. 204, issue 1, 290-305

Abstract: The saddle point equation described by the eigenvalues of N × N Hermitian matrices is analyzed for a finite N case and the scaling relation for the large N is considered. The critical point and the critical exponents of matrix model are obtained by the finite N scaling. The one-matrix model and the two-matrix model are studied in detail. Small N behavior for n-Ising model on a random surface is investigated.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:204:y:1994:i:1:p:290-305

DOI: 10.1016/0378-4371(94)90432-4

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