Almost all simulations have been done on hypercubic,
subdivided lattices with
-topology, which may introduce a systematic bias in the results.
There is evidence that the choice of measure plays a role in the
appearance and suppression of singular geometries, so-called
spikes. The study of irregular lattices suggests a direct link of
the transition points with the appearance of such spikes. This
feature is reminiscent of the appearance of singular structures
in dynamical triangulations. The coupling of a single scalar or
SU(2)-gauge field seems to have little influence on the phase
structure of the gravitational sector.
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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 |