An Analytical Analysis of CDT Coupled to Dimer-like Matter
We consider a model of restricted dimers coupled to two-dimensional causal dynamical triangulations (CDT), where the dimer configurations are restricted in the sense that they do not include dimers in regions of high curvature. It is shown how the model can be solved analytically using bijections wi...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2012
|
| _version_ | 1826264832739901440 |
|---|---|
| author | Atkin, MR Zohren, S |
| author_facet | Atkin, MR Zohren, S |
| author_sort | Atkin, MR |
| collection | OXFORD |
| description | We consider a model of restricted dimers coupled to two-dimensional causal dynamical triangulations (CDT), where the dimer configurations are restricted in the sense that they do not include dimers in regions of high curvature. It is shown how the model can be solved analytically using bijections with decorated trees. At a negative critical value for the dimer fugacity the model undergoes a phase transition at which the critical exponent associated to the geometry changes. This represents the first account of an analytical study of a matter model with two-dimensional interactions coupled to CDT. |
| first_indexed | 2024-03-06T20:14:11Z |
| format | Journal article |
| id | oxford-uuid:2b992592-ba4e-435e-9e67-188b4546ddf2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:14:11Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:2b992592-ba4e-435e-9e67-188b4546ddf22022-03-26T12:31:52ZAn Analytical Analysis of CDT Coupled to Dimer-like MatterJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2b992592-ba4e-435e-9e67-188b4546ddf2EnglishSymplectic Elements at Oxford2012Atkin, MRZohren, SWe consider a model of restricted dimers coupled to two-dimensional causal dynamical triangulations (CDT), where the dimer configurations are restricted in the sense that they do not include dimers in regions of high curvature. It is shown how the model can be solved analytically using bijections with decorated trees. At a negative critical value for the dimer fugacity the model undergoes a phase transition at which the critical exponent associated to the geometry changes. This represents the first account of an analytical study of a matter model with two-dimensional interactions coupled to CDT. |
| spellingShingle | Atkin, MR Zohren, S An Analytical Analysis of CDT Coupled to Dimer-like Matter |
| title | An Analytical Analysis of CDT Coupled to Dimer-like Matter |
| title_full | An Analytical Analysis of CDT Coupled to Dimer-like Matter |
| title_fullStr | An Analytical Analysis of CDT Coupled to Dimer-like Matter |
| title_full_unstemmed | An Analytical Analysis of CDT Coupled to Dimer-like Matter |
| title_short | An Analytical Analysis of CDT Coupled to Dimer-like Matter |
| title_sort | analytical analysis of cdt coupled to dimer like matter |
| work_keys_str_mv | AT atkinmr ananalyticalanalysisofcdtcoupledtodimerlikematter AT zohrens ananalyticalanalysisofcdtcoupledtodimerlikematter AT atkinmr analyticalanalysisofcdtcoupledtodimerlikematter AT zohrens analyticalanalysisofcdtcoupledtodimerlikematter |