FINITE N-ANALYSIS OF MATRIX MODELS FOR AN N-ISING SPIN ON A RANDOM SURFACE

Authors
HIKAMI S
Citation
S. Hikami, FINITE N-ANALYSIS OF MATRIX MODELS FOR AN N-ISING SPIN ON A RANDOM SURFACE, Physica. A, 204(1-4), 1994, pp. 290-305
Citations number
21
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
204
Issue
1-4
Year of publication
1994
Pages
290 - 305
Database
ISI
SICI code
0378-4371(1994)204:1-4<290:FNOMMF>2.0.ZU;2-O
Abstract
The saddle point equation described by the eigenvalues of N x N Hermit ian matrices is analyzed for a finite N case and the scaling relation for the large N is considered. The critical point and the critical exp onents of matrix model are obtained by the finite N scaling. The one-m atrix model and the two-matrix model are studied in detail. Small N be havior for n-Ising model on a random surface is investigated.