Phase diagram of the chromatic polynomial on a torus
| dc.creator | Jacobsen, Jesper Lykke | |
| dc.creator | Salas, Jesus | |
| dc.date | 2007-03-09 | |
| dc.date | 2007-05-21 | |
| dc.date.accessioned | 2026-07-07T11:01:24Z | |
| dc.date.available | 2026-07-07T11:01:24Z | |
| dc.description | We study the zero-temperature partition function of the Potts antiferromagnet (i.e., the chromatic polynomial) on a torus using a transfer-matrix approach. We consider square- and triangular-lattice strips with fixed width L, arbitrary length N, and fully periodic boundary conditions. On the mathematical side, we obtain exact expressions for the chromatic polynomial of widths L=5,6,7 for the square and triangular lattices. On the physical side, we obtain the exact ``phase diagrams'' for these strips of width L and infinite length, and from these results we extract useful information about the infinite-volume phase diagram of this model: in particular, the number and position of the different phases. | |
| dc.description | 72 pages (LaTeX2e). Includes tex file, three sty files, and 26 Postscript figures. Also included are Mathematica files transfer6_sq.m and transfer6_tri.m. Final version to appear in Nucl. Phys. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0703228 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0703228 | |
| dc.identifier | Nucl.Phys.B783:238-296,2007 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.04.023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187938 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | Combinatorics | |
| dc.title | Phase diagram of the chromatic polynomial on a torus | |
| dc.type | text |