CDT coupled to dimer matter: An analytical approach via tree bijections
We review a recently obtained analytical solution of a restricted so-called hard dimers model coupled to two-dimensional CDT. The combinatorial solution is obtained via bijections of causal triangulations with dimers and decorated trees. We show that the scaling limit of this model can also be obtai...
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1826290630430556160 |
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| author | Atkin, MR Zohren, S |
| author_facet | Atkin, MR Zohren, S |
| author_sort | Atkin, MR |
| collection | OXFORD |
| description | We review a recently obtained analytical solution of a restricted so-called hard dimers model coupled to two-dimensional CDT. The combinatorial solution is obtained via bijections of causal triangulations with dimers and decorated trees. We show that the scaling limit of this model can also be obtained from a multi-critical point of the transfer matrix for dynamical triangulations of triangles and squares when one disallows for spatial topology changes to occur. |
| first_indexed | 2024-03-07T02:47:08Z |
| format | Journal article |
| id | oxford-uuid:ac6a453c-bd94-44cb-a548-93a33b53b511 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:47:08Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:ac6a453c-bd94-44cb-a548-93a33b53b5112022-03-27T03:28:57ZCDT coupled to dimer matter: An analytical approach via tree bijectionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ac6a453c-bd94-44cb-a548-93a33b53b511EnglishSymplectic Elements at Oxford2012Atkin, MRZohren, SWe review a recently obtained analytical solution of a restricted so-called hard dimers model coupled to two-dimensional CDT. The combinatorial solution is obtained via bijections of causal triangulations with dimers and decorated trees. We show that the scaling limit of this model can also be obtained from a multi-critical point of the transfer matrix for dynamical triangulations of triangles and squares when one disallows for spatial topology changes to occur. |
| spellingShingle | Atkin, MR Zohren, S CDT coupled to dimer matter: An analytical approach via tree bijections |
| title | CDT coupled to dimer matter: An analytical approach via tree bijections |
| title_full | CDT coupled to dimer matter: An analytical approach via tree bijections |
| title_fullStr | CDT coupled to dimer matter: An analytical approach via tree bijections |
| title_full_unstemmed | CDT coupled to dimer matter: An analytical approach via tree bijections |
| title_short | CDT coupled to dimer matter: An analytical approach via tree bijections |
| title_sort | cdt coupled to dimer matter an analytical approach via tree bijections |
| work_keys_str_mv | AT atkinmr cdtcoupledtodimermatterananalyticalapproachviatreebijections AT zohrens cdtcoupledtodimermatterananalyticalapproachviatreebijections |