to the action, where again
and
o
(b) denotes the number of 4-simplices sharing a bone
b
. For
, and with volumes up to 32
k, no major qualitative changes of the geometrical observables
were found. The inclusion of the higher-derivative term also does
not improve the behaviour of the average curvature
, which continues to be positive at the critical point, whereas
from a naïve comparison with the continuum theory one would
expect it to scale to zero. (This is also incompatible with the
prediction of Antoniadis et al [20], should dynamical triangulations possess an infrared stable
fixed point.) De Bakker and Smit [89] have argued that this may not be a reason of concern, since one
expects the volume and curvature terms to mix under
renormalization.
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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 |