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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147834 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862650373373689856 |
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| author | Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. |
| author_facet | Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-01T16:53:39Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147834 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T16:53:39Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. 2019-02-16T09:04:14Z 2019-02-16T09:04:14Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147834 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. This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). P.R. is financially supported by the Belgian Fonds National de la Recherche Scientifique (FNRS). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-Local Finite-Size Effects in the Dimer Model Article published earlier |
| spellingShingle | Non-Local Finite-Size Effects in the Dimer Model Izmailian, N.Sh. Priezzhev, V.B. Ruelle, P. |
| title | 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_short | Non-Local Finite-Size Effects in the Dimer Model |
| title_sort | non-local finite-size effects in the dimer model |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147834 |
| work_keys_str_mv | AT izmailiannsh nonlocalfinitesizeeffectsinthedimermodel AT priezzhevvb nonlocalfinitesizeeffectsinthedimermodel AT ruellep nonlocalfinitesizeeffectsinthedimermodel |