Physics – Nuclear Physics
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nuphb.350..690a&link_type=abstract
Nuclear Physics B, Volume 350, Issue 3, p. 690-728.
Physics
Nuclear Physics
41
Scientific paper
A two-dimensional quantum gravity is simulated by means of the dynamical triangulation model. The size of the lattice was up to hundred thousand triangles. Massively parallel simulations and recursive sampling were implemented independently and produced similar results. Wherever the analytical predictions existed, our results confirmed them. The cascade process of baby universes formulation à la Coleman-Hawking scenario in a two-dimensional case has been observed. We observed that there is a simple universal inclusive probability for a baby universe to appear. This anomalous branching of surfaces led to a rapid growth of the integral curvature inside a circle. The volume of a disk in the internal metric has been proven to grow faster than any power of radius. The scaling prediction for the mean square extent given by the Liouville theory has been confirmed. However, the naive expectation for the average Liouville lagrangian <∫(▽φ)2> is about 1 order of magnitude different from the results. This apparently points out to some flaws in the current definition of a Liouville model.
Agishtein M. E.
Migdal Alexander A.
No associations
LandOfFree
Geometry of a two-dimensional quantum gravity: Numerical study does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geometry of a two-dimensional quantum gravity: Numerical study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of a two-dimensional quantum gravity: Numerical study will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1318430