Scale-dependent Hausdorff dimensions in 2d gravity
By appropriate scaling of coupling constants a one-parameter family of ensembles of two-dimensional geometries is obtained, which interpolates between the ensembles of (generalized) causal dynamical triangulations and ordinary dynamical triangulations. We study the fractal properties of the associat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2014-09-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269314005498 |
| _version_ | 1818942156834865152 |
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| author | J. Ambjørn T. Budd Y. Watabiki |
| author_facet | J. Ambjørn T. Budd Y. Watabiki |
| author_sort | J. Ambjørn |
| collection | DOAJ |
| description | By appropriate scaling of coupling constants a one-parameter family of ensembles of two-dimensional geometries is obtained, which interpolates between the ensembles of (generalized) causal dynamical triangulations and ordinary dynamical triangulations. We study the fractal properties of the associated continuum geometries and identify both global and local Hausdorff dimensions. |
| first_indexed | 2024-12-20T07:06:57Z |
| format | Article |
| id | doaj.art-5000ae6a987d4a40be199a5abbf7fb22 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-20T07:06:57Z |
| publishDate | 2014-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-5000ae6a987d4a40be199a5abbf7fb222022-12-21T19:49:01ZengElsevierPhysics Letters B0370-26931873-24452014-09-01736C33934310.1016/j.physletb.2014.07.047Scale-dependent Hausdorff dimensions in 2d gravityJ. Ambjørn0T. Budd1Y. Watabiki2Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, DenmarkNiels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, DenmarkTokyo Institute of Technology, Dept. of Physics, High Energy Theory Group, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, JapanBy appropriate scaling of coupling constants a one-parameter family of ensembles of two-dimensional geometries is obtained, which interpolates between the ensembles of (generalized) causal dynamical triangulations and ordinary dynamical triangulations. We study the fractal properties of the associated continuum geometries and identify both global and local Hausdorff dimensions.http://www.sciencedirect.com/science/article/pii/S0370269314005498Quantum gravityLower-dimensional modelsLattice models |
| spellingShingle | J. Ambjørn T. Budd Y. Watabiki Scale-dependent Hausdorff dimensions in 2d gravity Physics Letters B Quantum gravity Lower-dimensional models Lattice models |
| title | Scale-dependent Hausdorff dimensions in 2d gravity |
| title_full | Scale-dependent Hausdorff dimensions in 2d gravity |
| title_fullStr | Scale-dependent Hausdorff dimensions in 2d gravity |
| title_full_unstemmed | Scale-dependent Hausdorff dimensions in 2d gravity |
| title_short | Scale-dependent Hausdorff dimensions in 2d gravity |
| title_sort | scale dependent hausdorff dimensions in 2d gravity |
| topic | Quantum gravity Lower-dimensional models Lattice models |
| url | http://www.sciencedirect.com/science/article/pii/S0370269314005498 |
| work_keys_str_mv | AT jambjørn scaledependenthausdorffdimensionsin2dgravity AT tbudd scaledependenthausdorffdimensionsin2dgravity AT ywatabiki scaledependenthausdorffdimensionsin2dgravity |