Dynamical dimensional reduction in toy models of 4D causal quantum gravity

Details Dynamical dimensional reduction in toy models of 4D causal quantum gravity Dynamical dimensional reduction in toy models of 4D causal quantum gravity

2012-02-13

arxiv.org/abs/1202.2710v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures, v2: small change regarding slowly varying functions

Scientific paper

In recent years several approaches to quantum gravity have found evidence for a scale dependent spectral dimension of space-time varying from four at large scales to two at small scales of order of the Planck length. The first evidence came from numerical results of four-dimensional causal dynamical triangulations (CDT) [Ambjorn et al., Phys. Rev. Lett. 95 (2005) 171]. Since then little progress has been made in analytically understanding the numerical results coming from the CDT approach and showing that they remain valid when taking the continuum limit. In this letter we propose a new toy model of "radially reduced" four-dimensional CDT in which we can take the continuum limit analytically and obtain a scale dependent spectral dimension varying from four to two with scale. Furthermore, the functional behaviour of the spectral dimension is exactly of the form which was conjectured on the basis of the numerical results.

Affiliated with

Also associated with

No associations

Rating

Dynamical dimensional reduction in toy models of 4D causal quantum gravity 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 Dynamical dimensional reduction in toy models of 4D causal quantum gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical dimensional reduction in toy models of 4D causal quantum gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682115