A restricted dimer model on a two-dimensional random causal triangulation
We introduce a restricted hard dimer model on a random causal triangulation that is exactly solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett. B 712 445–50). We show that the latter model exhibits unusual behaviour at its multicritical point; in particular, its...
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| Format: | Journal article |
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IOP Publishing
2014
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| _version_ | 1797058860540755968 |
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| author | Ambjørn, J Durhuus, B Wheater, J |
| author_facet | Ambjørn, J Durhuus, B Wheater, J |
| author_sort | Ambjørn, J |
| collection | OXFORD |
| description | We introduce a restricted hard dimer model on a random causal triangulation that is exactly solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett. B 712 445–50). We show that the latter model exhibits unusual behaviour at its multicritical point; in particular, its Hausdorff dimension equals 3 and not $3/2$ as would be expected from general scaling arguments. When viewed as a special case of the generalized model introduced here we show that this behaviour is not generic and therefore is not likely to represent the true behaviour of the full dimer model on a random causal triangulation. |
| first_indexed | 2024-03-06T19:56:20Z |
| format | Journal article |
| id | oxford-uuid:25ba816f-7bc0-4170-8cd5-75e7b98e2682 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:56:20Z |
| publishDate | 2014 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:25ba816f-7bc0-4170-8cd5-75e7b98e26822022-03-26T11:57:08ZA restricted dimer model on a two-dimensional random causal triangulationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:25ba816f-7bc0-4170-8cd5-75e7b98e2682Symplectic Elements at OxfordIOP Publishing2014Ambjørn, JDurhuus, BWheater, JWe introduce a restricted hard dimer model on a random causal triangulation that is exactly solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett. B 712 445–50). We show that the latter model exhibits unusual behaviour at its multicritical point; in particular, its Hausdorff dimension equals 3 and not $3/2$ as would be expected from general scaling arguments. When viewed as a special case of the generalized model introduced here we show that this behaviour is not generic and therefore is not likely to represent the true behaviour of the full dimer model on a random causal triangulation. |
| spellingShingle | Ambjørn, J Durhuus, B Wheater, J A restricted dimer model on a two-dimensional random causal triangulation |
| title | A restricted dimer model on a two-dimensional random causal triangulation |
| title_full | A restricted dimer model on a two-dimensional random causal triangulation |
| title_fullStr | A restricted dimer model on a two-dimensional random causal triangulation |
| title_full_unstemmed | A restricted dimer model on a two-dimensional random causal triangulation |
| title_short | A restricted dimer model on a two-dimensional random causal triangulation |
| title_sort | restricted dimer model on a two dimensional random causal triangulation |
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