Abstract
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 (∼ γ 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 ∼ γ st ≈ −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 γ st (3) ≈ γ st (4) ≈ 0. The existence of common structures in simplicial quantum gravity is also discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
