Scale-dependent Hausdorff dimensions in 2d gravity

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...

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Veröffentlicht in:arXiv.org 2014-06
Hauptverfasser: Ambjorn, J, Budd, T, Watabiki, Y
Format: Artikel
Sprache:eng
Schlagworte:
Fractal geometry
Fractals
Mathematics - Combinatorics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1406.6251