Geodesic distances in Liouville quantum gravity
In order to study the quantum geometry of random surfaces in Liouville gravity, we propose a definition of geodesic distance associated to a Gaussian free field on a regular lattice. This geodesic distance is used to numerically determine the Hausdorff dimension associated to shortest cycles of 2d q...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321314003356 |