Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-04-24
Phys.Rev. D66 (2002) 084016
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 20 figures, some clarifying remarks added, final version to appear in Phys Rev D
Scientific paper
10.1103/PhysRevD.66.084016
We formulate a dynamically triangulated model of three-dimensional Lorentzian quantum gravity whose spatial sections are flat two-tori. It is shown that the combinatorics involved in evaluating the one-step propagator (the transfer matrix) is that of a set of vicious walkers on a two-dimensional lattice with periodic boundary conditions and that the entropy of the model scales exponentially with the volume. We also give explicit expressions for the Teichm\"uller parameters of the spatial slices in terms of the discrete parameters of the 3d triangulations, and reexpress the discretized action in terms of them. The relative simplicity and explicitness of this model make it ideally suited for an analytic study of the conformal-factor cancellation observed previously in Lorentzian dynamical triangulations and of its relation to alternative, reduced phase space quantizations of 3d gravity.
Dittrich Beate
Loll Renate
No associations
LandOfFree
A Hexagon Model for 3D Lorentzian Quantum Cosmology 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 A Hexagon Model for 3D Lorentzian Quantum Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Hexagon Model for 3D Lorentzian Quantum Cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1160