Solvable statistical models on a random lattice
| dc.creator | Kostov, Ivan K. | |
| dc.date | 1995-09-22 | |
| dc.date | 1995-10-03 | |
| dc.date.accessioned | 2026-07-07T09:04:06Z | |
| dc.date.available | 2026-07-07T09:04:06Z | |
| dc.description | We give a sequence of equivalent formulations of the $ADE$ and $\hat A\hat D\hat E$ height models defined on a random triangulated surface: random surfaces immersed in Dynkin diagrams, chains of coupled random matrices, Coulomb gases, and multicomponent Bose and Fermi systems representing soliton $τ$-functions. We also formulate a set of loop-space Feynman rules allowing to calculate easily the partition function on a random surface with arbitrary topology. The formalism allows to describe the critical phenomena on a random surface in a unified fashion and gives a new meaning to the $ADE$ classification. | |
| dc.description | Talk presented at the Conference on recent developments in statistical mechanics and quantum field theory (10 - 12 April 1995), Trieste, Italy; 16 pages, latex, no figures, espcrc2.tex; Eq. (39) corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9509124 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9509124 | |
| dc.identifier | Nucl.Phys.Proc.Suppl. 45A (1996) 13-28 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149256 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Solvable statistical models on a random lattice | |
| dc.type | text |