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:Physics letters. B 2014-09, Vol.736 (C), p.339-343
Hauptverfasser: Ambjørn, J., Budd, T., Watabiki, Y.
Format: Artikel
Sprache:eng
Schlagworte:
Lattice models
Lower-dimensional models
Quantum gravity
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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:0370-2693
1873-2445
DOI:10.1016/j.physletb.2014.07.047