) [113], for lattice sizes of up to
. At the transition point (
,
,
a
=0.005), the distributions of edge lengths, volumes and
curvatures are smooth and Gaussian-like, and the average
curvature vanishes. The location of
from fits (17) to the average curvature coincide with those from [111
], leading to
. The data at
a
=0 do not seem to match this interpretation. This leads to the
tentative conclusion that only for sufficiently large
a
the observed transition is of second order. It is in general
``difficult to entirely exclude the presence of a weak
first-order transition, if it has a very small latent heat''. For
a
=0.005, one finds some evidence for a decrease in the fractal
dimension as
k
grows.
|
Discrete Approaches to Quantum Gravity in Four Dimensions
Renate Loll http://www.livingreviews.org/lrr-1998-13 © Max-Planck-Gesellschaft. ISSN 1433-8351 Problems/Comments to livrev@aei-potsdam.mpg.de |