Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations

Details Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations

1998-10-23

arxiv.org/abs/hep-lat/9810049v1

Phys.Rev. D59 (1999) 124008

Physics

High Energy Physics

High Energy Physics - Lattice

Latex, 8 pages, 4 eps-figures

Scientific paper

10.1103/PhysRevD.59.124008

We extend a model of four-dimensional simplicial quantum gravity to include degenerate triangulations in addition to combinatorial triangulations traditionally used. Relaxing the constraint that every 4-simplex is uniquely defined by a set of five distinct vertexes, we allow triangulations containing multiply connected simplexes and distinct simplexes defined by the same set of vertexes. We demonstrate numerically that including degenerated triangulations substantially reduces the finite-size effects in the model. In particular, we provide a strong numerical evidence for an exponential bound on the entropic growth of the ensemble of degenerate triangulations, and show that a discontinuous crumpling transition is already observed on triangulations of volume N_4 ~= 4000.

Affiliated with

Also associated with

No associations

Rating

Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations 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 Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227234