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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| Datum: | 2007 |
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| Sprache: | English |
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Інститут математики НАН України
2007
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147834 |
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| Zitieren: | Non-Local Finite-Size Effects in the Dimer Model / N.Sh. Izmailian, V.B. Priezzhev, P. Ruelle // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 38 назв. — англ. |
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irk-123456789-1478342019-02-17T01:23:07Z Non-Local Finite-Size Effects in the Dimer Model Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. 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. 2007 Article Non-Local Finite-Size Effects in the Dimer Model / N.Sh. Izmailian, V.B. Priezzhev, P. Ruelle // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 38 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 82B20; 81T40 http://dspace.nbuv.gov.ua/handle/123456789/147834 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. |
| spellingShingle |
Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. Non-Local Finite-Size Effects in the Dimer Model Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. |
| author_sort |
Izmailian, N.Sh. |
| 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 |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147834 |
| citation_txt |
Non-Local Finite-Size Effects in the Dimer Model / N.Sh. Izmailian, V.B. Priezzhev, P. Ruelle // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 38 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT izmailiannsh nonlocalfinitesizeeffectsinthedimermodel AT priezzhevvb nonlocalfinitesizeeffectsinthedimermodel AT ruellep nonlocalfinitesizeeffectsinthedimermodel |
| first_indexed |
2025-07-11T02:56:27Z |
| last_indexed |
2025-07-11T02:56:27Z |
| _version_ |
1837317638615728128 |