Potts models on hierarchical lattices and Renormalization Group dynamics
| dc.creator | De Simoi, Jacopo | |
| dc.creator | Marmi, Stefano | |
| dc.date | 2007-08-04 | |
| dc.date | 2008-08-03 | |
| dc.date.accessioned | 2026-07-07T09:54:05Z | |
| dc.date.available | 2026-07-07T09:54:05Z | |
| dc.description | We prove that the generator of the renormalization group of Potts models on hierarchical lattices can be represented by a rational map acting on a finite-dimensional product of complex projective spaces. In this framework we can also consider models with an applied external magnetic field and multiple-spin interactions. We use recent results regarding iteration of rational maps in several complex variables to show that, for some class of hierarchical lattices, Lee-Yang and Fisher zeros belong to the unstable set of the renormalization map. | |
| dc.description | 21 pages, 7 figures; v3 revised, some issues corrected | |
| dc.identifier | https://arxiv.org/abs/0708.0616 | |
| dc.identifier | http://arxiv.org/abs/0708.0616 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166186 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Dynamical Systems | |
| dc.title | Potts models on hierarchical lattices and Renormalization Group dynamics | |
| dc.type | text |