Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-02-10
Phys.Lett. B459 (1999) 97-104
Physics
High Energy Physics
High Energy Physics - Lattice
10 pages, latex, 6 ps figures, uses cite.sty and psfig.sty
Scientific paper
10.1016/S0370-2693(99)00674-7
The statistical properties of dynamically triangulated manifolds (DT mfds) in terms of the geodesic distance have been studied numerically. The string susceptibility exponents for the boundary surfaces in three-dimensional DT mfds were measured numerically. For spherical boundary surfaces, we obtained a result consistent with the case of a two-dimensional spherical DT surface described by the matrix model. This gives a correct method to reconstruct two-dimensional random surfaces from three-dimensional DT mfds. Furthermore, a scaling property of the volume distribution of minimum neck baby universes was investigated numerically in the case of three and four dimensions, and we obtain a common scaling structure near to the critical points belonging to the strong coupling phase in both dimensions. We have evidence for the existence of a common fractal structure in three- and four-dimensional simplicial quantum gravity.
Egawa Hiroshi S.
Tsuda Norio
Yukawa Tetsuyuki
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