Renormalisation Group Theory of Branching Potts Interfaces
| dc.creator | Cardy, John | |
| dc.date | 1998-06-08 | |
| dc.date | 1999-07-15 | |
| dc.date.accessioned | 2026-07-07T03:10:47Z | |
| dc.date.available | 2026-07-07T03:10:47Z | |
| dc.description | We develop a field-theoretic representation for the configurations of an interface between two ordered phases of a q-state Potts model in two dimensions, in the solid-on-solid approximation. The model resembles the field theory of directed percolation and may be analysed using similar renormalisation group methods. In the one-loop approximation these reveal a simple mechanism for the emergence of a critical value q_c, such that for q<q_c the interface becomes a fractal with a vanishing interfacial tension at the critical point, while for q>q_c the interfacial width diverges at a finite value of the tension, indicating a first-order transition. The value of the Widom exponent for q<q_c within this approximation is in fair agreement with known exact values. Some comments are made on the case of quenched randomness. We also show that the q-> minus infinity limit of our model corresponds to directed percolation and that the values for the exponents in the one-loop approximation are in reasonable agreement with accepted values. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9806098 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9806098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28340 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Renormalisation Group Theory of Branching Potts Interfaces | |
| dc.type | text |