Non-Local Finite-Size Effects in the Dimer Model
We study the finite-size corrections of the dimer model on ∞ × 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...
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National Academy of Science of Ukraine
2007-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://www.emis.de/journals/SIGMA/2007/001/ |
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doaj-d7f3b9e6982e405eb550e293ccc5357f2020-11-24T22:14:26ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-01-013001Non-Local Finite-Size Effects in the Dimer ModelNickolay Sh. IzmailianVyatcheslav B. PriezzhevPhilippe RuelleWe study the finite-size corrections of the dimer model on ∞ × 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. http://www.emis.de/journals/SIGMA/2007/001/dimer modelfinite-size correctionsconformal field theory |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nickolay Sh. Izmailian Vyatcheslav B. Priezzhev Philippe Ruelle |
| spellingShingle |
Nickolay Sh. Izmailian Vyatcheslav B. Priezzhev Philippe Ruelle Non-Local Finite-Size Effects in the Dimer Model Symmetry, Integrability and Geometry: Methods and Applications dimer model finite-size corrections conformal field theory |
| author_facet |
Nickolay Sh. Izmailian Vyatcheslav B. Priezzhev Philippe Ruelle |
| author_sort |
Nickolay Sh. Izmailian |
| title |
Non-Local Finite-Size Effects in the Dimer Model |
| title_short |
Non-Local Finite-Size Effects in the Dimer Model |
| title_full |
Non-Local Finite-Size Effects in the Dimer Model |
| title_fullStr |
Non-Local Finite-Size Effects in the Dimer Model |
| title_full_unstemmed |
Non-Local Finite-Size Effects in the Dimer Model |
| title_sort |
non-local finite-size effects in the dimer model |
| publisher |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2007-01-01 |
| description |
We study the finite-size corrections of the dimer model on ∞ × 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. |
| topic |
dimer model finite-size corrections conformal field theory |
| url |
http://www.emis.de/journals/SIGMA/2007/001/ |
| work_keys_str_mv |
AT nickolayshizmailian nonlocalfinitesizeeffectsinthedimermodel AT vyatcheslavbpriezzhev nonlocalfinitesizeeffectsinthedimermodel AT philipperuelle nonlocalfinitesizeeffectsinthedimermodel |
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1725798928511664128 |