Putting a cap on causality violations in causal dynamical triangulations
The formalism of causal dynamical triangulations (CDT) provides us with a non-perturbatively defined model of quantum gravity, where the sum over histories includes only causal space-time histories. Path integrals of CDT and their continuum limits have been studied in two, three and four dimensions....
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2007
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| _version_ | 1797086800267706368 |
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| author | Ambjorn, J Loll, R Westra, W Zohren, S |
| author_facet | Ambjorn, J Loll, R Westra, W Zohren, S |
| author_sort | Ambjorn, J |
| collection | OXFORD |
| description | The formalism of causal dynamical triangulations (CDT) provides us with a non-perturbatively defined model of quantum gravity, where the sum over histories includes only causal space-time histories. Path integrals of CDT and their continuum limits have been studied in two, three and four dimensions. Here we investigate a generalization of the two-dimensional CDT model, where the causality constraint is partially lifted by introducing branching points with a weight g s, and demonstrate that the system can be solved analytically in the genus-zero sector. The solution is analytic in a neighborhood around weight g s = 0 and cannot be analytically continued to g s = , where the branching is entirely geometric and where one would formally recover standard Euclidean two-dimensional quantum gravity defined via dynamical triangulations or Liouville theory. © SISSA 2007. |
| first_indexed | 2024-03-07T02:27:07Z |
| format | Journal article |
| id | oxford-uuid:a5fc83a1-ae32-4ec7-a265-e13112e1e2c8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:27:07Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:a5fc83a1-ae32-4ec7-a265-e13112e1e2c82022-03-27T02:44:09ZPutting a cap on causality violations in causal dynamical triangulationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a5fc83a1-ae32-4ec7-a265-e13112e1e2c8EnglishSymplectic Elements at Oxford2007Ambjorn, JLoll, RWestra, WZohren, SThe formalism of causal dynamical triangulations (CDT) provides us with a non-perturbatively defined model of quantum gravity, where the sum over histories includes only causal space-time histories. Path integrals of CDT and their continuum limits have been studied in two, three and four dimensions. Here we investigate a generalization of the two-dimensional CDT model, where the causality constraint is partially lifted by introducing branching points with a weight g s, and demonstrate that the system can be solved analytically in the genus-zero sector. The solution is analytic in a neighborhood around weight g s = 0 and cannot be analytically continued to g s = , where the branching is entirely geometric and where one would formally recover standard Euclidean two-dimensional quantum gravity defined via dynamical triangulations or Liouville theory. © SISSA 2007. |
| spellingShingle | Ambjorn, J Loll, R Westra, W Zohren, S Putting a cap on causality violations in causal dynamical triangulations |
| title | Putting a cap on causality violations in causal dynamical triangulations |
| title_full | Putting a cap on causality violations in causal dynamical triangulations |
| title_fullStr | Putting a cap on causality violations in causal dynamical triangulations |
| title_full_unstemmed | Putting a cap on causality violations in causal dynamical triangulations |
| title_short | Putting a cap on causality violations in causal dynamical triangulations |
| title_sort | putting a cap on causality violations in causal dynamical triangulations |
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