Discrete Gravity in One Dimension

Details Discrete Gravity in One Dimension Discrete Gravity in One Dimension

1994-12-09

arxiv.org/abs/hep-th/9412089v1

Nucl.Phys. B451 (1995) 305-324

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, postscript, 3 figures

Scientific paper

10.1016/0550-3213(95)00358-Y

A model for quantum gravity in one (time) dimension is discussed, based on Regge's discrete formulation of gravity. The nature of exact continuous lattice diffeomorphisms and the implications for a regularized gravitational measure are examined. After introducing a massless scalar field coupled to the edge lengths, the scalar functional integral is performed exactly on a finite lattice, and the ensuing change in the measure is determined. It is found that the renormalization of the cosmological constant due to the scalar field fluctuations vanishes identically in one dimension. A simple decimation renormalization group transformation is performed on the partition function and the results are compared with the exact solution. Finally the properties of the spectrum of the scalar Laplacian are compared with results obtained for a Poissonian distribution of edge lengths.

Affiliated with

Also associated with

No associations

Rating

Discrete Gravity in One Dimension 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 Discrete Gravity in One Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Gravity in One Dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407949