The phase structure and effective action of 3D CDT at higher spatial genus
Abstract We perform a detailed investigation of the phase structure and the semiclassical effective action of (2+1)-dimensional Causal Dynamical Triangulations (CDT) quantum gravity using computer simulations. On the one hand, we study the effect of enlarging the ensemble of triangulations by relaxi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)212 |
| _version_ | 1811236319519571968 |
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| author | Joren Brunekreef Dániel Németh |
| author_facet | Joren Brunekreef Dániel Németh |
| author_sort | Joren Brunekreef |
| collection | DOAJ |
| description | Abstract We perform a detailed investigation of the phase structure and the semiclassical effective action of (2+1)-dimensional Causal Dynamical Triangulations (CDT) quantum gravity using computer simulations. On the one hand, we study the effect of enlarging the ensemble of triangulations by relaxing the simplicial manifold conditions in a controlled way. On the other hand, we cast a first look at CDT geometries with spatial topology beyond that of the sphere or torus. We measure the phase structure of the model for several triangulation ensembles and spatial topologies, finding evidence that the phase structure is qualitatively unaffected by these generalizations. Furthermore, we determine the effective action for the spatial volumes of the system, again varying the simplicial manifold conditions and the spatial topology. In all cases where we were able to gather sufficient statistics, we found the resulting effective action to be consistent with a minisuperspace action derived from continuum Einstein gravity, although more work is needed to confirm this conclusion. We interpret our overall results as evidence that 1) partially relaxing simplicial manifold conditions or changing the spatial genus does not affect the continuum limit of 3D CDT and that 2) increasing the spatial genus of the system likely does not influence the leading-order terms in the emergent effective action. |
| first_indexed | 2024-04-12T12:08:17Z |
| format | Article |
| id | doaj.art-9407c209070f41aa89653e2737d1e03c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T12:08:17Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9407c209070f41aa89653e2737d1e03c2022-12-22T03:33:40ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022912910.1007/JHEP09(2022)212The phase structure and effective action of 3D CDT at higher spatial genusJoren Brunekreef0Dániel Németh1Institute for Mathematics, Astrophysics and Particle Physics, Radboud UniversityInstitute for Mathematics, Astrophysics and Particle Physics, Radboud UniversityAbstract We perform a detailed investigation of the phase structure and the semiclassical effective action of (2+1)-dimensional Causal Dynamical Triangulations (CDT) quantum gravity using computer simulations. On the one hand, we study the effect of enlarging the ensemble of triangulations by relaxing the simplicial manifold conditions in a controlled way. On the other hand, we cast a first look at CDT geometries with spatial topology beyond that of the sphere or torus. We measure the phase structure of the model for several triangulation ensembles and spatial topologies, finding evidence that the phase structure is qualitatively unaffected by these generalizations. Furthermore, we determine the effective action for the spatial volumes of the system, again varying the simplicial manifold conditions and the spatial topology. In all cases where we were able to gather sufficient statistics, we found the resulting effective action to be consistent with a minisuperspace action derived from continuum Einstein gravity, although more work is needed to confirm this conclusion. We interpret our overall results as evidence that 1) partially relaxing simplicial manifold conditions or changing the spatial genus does not affect the continuum limit of 3D CDT and that 2) increasing the spatial genus of the system likely does not influence the leading-order terms in the emergent effective action.https://doi.org/10.1007/JHEP09(2022)212Lattice Models of GravityModels of Quantum GravityOther Lattice Field TheoriesRandom Systems |
| spellingShingle | Joren Brunekreef Dániel Németh The phase structure and effective action of 3D CDT at higher spatial genus Journal of High Energy Physics Lattice Models of Gravity Models of Quantum Gravity Other Lattice Field Theories Random Systems |
| title | The phase structure and effective action of 3D CDT at higher spatial genus |
| title_full | The phase structure and effective action of 3D CDT at higher spatial genus |
| title_fullStr | The phase structure and effective action of 3D CDT at higher spatial genus |
| title_full_unstemmed | The phase structure and effective action of 3D CDT at higher spatial genus |
| title_short | The phase structure and effective action of 3D CDT at higher spatial genus |
| title_sort | phase structure and effective action of 3d cdt at higher spatial genus |
| topic | Lattice Models of Gravity Models of Quantum Gravity Other Lattice Field Theories Random Systems |
| url | https://doi.org/10.1007/JHEP09(2022)212 |
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