Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-09-24
Nucl.Phys.Proc.Suppl. 63 (1998) 736-738
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages, latex, 3 ps figures, uses espcrc2.sty. Talk presented at LATTICE97(gravity)
Scientific paper
10.1016/S0920-5632(97)00888-8
Two kinds of statistical properties of dynamical-triangulated manifolds (DT mfds) have been investigated. First, the surfaces appearing on the boundaries of 3D DT mfds were investigated. The string-susceptibility exponent of the boundary surfaces ($\tilde{\gamma}_{st}$) of 3D DT mfds with $S^{3}$ topology near to the critical point was obtained by means of a MINBU (minimum neck baby universes) analysis; actually, we obtained $\tilde{\gamma}_{st} \approx -0.5$. Second, 3 and 4D DT mfds were also investigated by determining the string-susceptibility exponent near to the critical point from measuring the MINBU distributions. As a result, we found a similar behavior of the MINBU distributions in 3 and 4D DT mfds, and obtained $\gamma_{st}^{(3)} \approx \gamma_{st}^{(4)} \approx 0$. The existence of common structures in simplicial quantum gravity is also discussed.
Egawa Hiroshi S.
Tsuda Norio
Yukawa Tetsuyuki
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