The dilute Potts model on random surfaces
| dc.creator | Zinn-Justin, P. | |
| dc.date | 1999-03-25 | |
| dc.date | 1999-04-27 | |
| dc.date.accessioned | 2026-07-07T03:13:07Z | |
| dc.date.available | 2026-07-07T03:13:07Z | |
| dc.description | We present a new solution of the asymmetric two-matrix model in the large $N$ limit which only involves a saddle point analysis. The model can be interpreted as Ising in the presence of a magnetic field, on random dynamical lattices with the topology of the sphere (resp. the disk) for closed (resp. open) surfaces; we elaborate on the resulting phase diagram. The method can be equally well applied to a more general $(Q+1)$-matrix model which represents the dilute Potts model on random dynamical lattices. We discuss in particular duality of boundary conditions for open random surfaces. | |
| dc.description | 18 pages, 5 EPS figures, lanlmac | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9903385 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9903385 | |
| dc.identifier | J.Statist.Phys. 98 (2001) 245-264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29178 | |
| dc.subject | Statistical Mechanics | |
| dc.title | The dilute Potts model on random surfaces | |
| dc.type | text |