Scale-dependent Hausdorff dimensions in 2d gravity
- Ambjørn, J.(Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, Copenhagen Ø, DK-2100, Denmark)
- Budd, T.(Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, Copenhagen Ø, DK-2100, Denmark)
- Watabiki, Y.(Tokyo Institute of Technology, Dept. of Physics, High Energy Theory Group, 2-12-1 Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan)
Publication date
October 2014
DOIAbstract
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
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