Character decomposition of Potts model partition functions. I. Cyclic geometry
| dc.creator | Richard, Jean-Francois | |
| dc.creator | Jacobsen, Jesper Lykke | |
| dc.date | 2006-05-04 | |
| dc.date.accessioned | 2026-07-07T08:26:31Z | |
| dc.date.available | 2026-07-07T08:26:31Z | |
| dc.description | We study the Potts model (defined geometrically in the cluster picture) on finite two-dimensional lattices of size L x N, with boundary conditions that are free in the L-direction and periodic in the N-direction. The decomposition of the partition function in terms of the characters K\_{1+2l} (with l=0,1,...,L) has previously been studied using various approaches (quantum groups, combinatorics, transfer matrices). We first show that the K\_{1+2l} thus defined actually coincide, and can be written as traces of suitable transfer matrices in the cluster picture. We then proceed to similarly decompose constrained partition functions in which exactly j clusters are non-contractible with respect to the periodic lattice direction, and a partition function with fixed transverse boundary conditions. | |
| dc.description | 21 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0605016 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0605016 | |
| dc.identifier | Nuclear Physics B 750 (2006) 250-264 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.05.028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136964 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Character decomposition of Potts model partition functions. I. Cyclic geometry | |
| dc.type | text |