Non-Local Finite-Size Effects in the Dimer Model
| dc.creator | Izmailian, Nickolay Sh. | |
| dc.creator | Priezzhev, Vyatcheslav B. | |
| dc.creator | Ruelle, Philippe | |
| dc.date | 2007-01-04 | |
| dc.date.accessioned | 2026-07-07T09:34:20Z | |
| dc.date.available | 2026-07-07T09:34:20Z | |
| dc.description | We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of $N$, and show that, because of certain non-local features present in the model, a change of parity of $N$ induces a change of boundary condition. Taking a careful account of this, these unusual finite-size behaviours can be fully explained in the framework of the $c=-2$ logarithmic conformal field theory. | |
| dc.description | This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0701075 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0701075 | |
| dc.identifier | SIGMA 3 (2007), 001, 12 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159458 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.title | Non-Local Finite-Size Effects in the Dimer Model | |
| dc.type | text |