FRACTAL STRUCTURES OF 3-DIMENSIONAL SIMPLICIAL GRAVITY

Citation
H. Hagura et al., FRACTAL STRUCTURES OF 3-DIMENSIONAL SIMPLICIAL GRAVITY, Nuclear physics. B, 1997, pp. 766-768
Citations number
17
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Year of publication
1997
Supplement
53
Pages
766 - 768
Database
ISI
SICI code
0550-3213(1997):<766:FSO3SG>2.0.ZU;2-0
Abstract
Phases and fractal structures of three-dimensional simplicial quantum gravity are studied by the Monte-Carlo method. After measuring the sur face area distribution (SAD) which is the three-dimensional analog of the loop length distribution (LLD) in two-dimensional quantum gravity, we classify the fractal structures into three types: (i) a crumpled m anifold in the strong coupling (hot) phase with a large Hausdorff dime nsion d(H) similar or equal to 5. (ii) a pseudofractal manifold at the critical point with a Hausdorff dimension d(H) similar or equal to 4. We observe some scaling behaviors for the cross-sections of the manif old. (iii) a branched-polymer structure in the weak coupling (cold) ph ase with a small Hausdorff dimension d(H) similar or equal to 2.