Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-04-05
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 13 figures
Scientific paper
The physical phase of Causal Dynamical Triangulations (CDT) is known to be described by an effective, one-dimensional action in which three-volumes of the underlying foliation of the full CDT play a role of the sole degrees of freedom. Here we map this effective description onto a statistical-physics model of particles distributed on 1d lattice, with site occupation numbers corresponding to the three-volumes. We identify the emergence of the quantum de-Sitter universe observed in CDT with the condensation transition known from similar statistical models. Our model correctly reproduces the shape of the quantum universe and allows us to analytically determine quantum corrections to the size of the universe. We also investigate the phase structure of the model and show that it reproduces all three phases observed in computer simulations of CDT. In addition, we predict that two other phases may exists, depending on the exact form of the discretised effective action and boundary conditions. We calculate various quantities such as the distribution of three-volumes in our model and discuss how they can be compared with CDT.
Bogacz Leszek
Burda Zdzislaw
Waclaw Bartlomiej
No associations
LandOfFree
Quantum widening of CDT universe 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 Quantum widening of CDT universe, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum widening of CDT universe will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-182865