Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-07-16
Nucl.Phys.B644:533-567,2002
Physics
High Energy Physics
High Energy Physics - Lattice
41 pages, 16 figures
Scientific paper
10.1016/S0550-3213(02)00822-2
We numerically investigate the fractal structure of two-dimensional quantum gravity coupled to matter central charge c for $-2 \leq c \leq 1$. We reformulate Q-state Potts model into the model which can be identified as a weighted percolation cluster model and can make continuous change of Q, which relates c, on the dynamically triangulated lattice. The c-dependence of the critical coupling is measured from the percolation probability and susceptibility. The c-dependence of the string susceptibility of the quantum surface is evaluated and has very good agreement with the theoretical predictions. The c-dependence of the fractal dimension based on the finite size scaling hypothesis is measured and has excellent agreement with one of the theoretical predictions previously proposed except for the region near $c\approx 1$.
Kawamoto Noboru
Yotsuji Kenji
No associations
LandOfFree
Numerical study for the c-dependence of fractal dimension in two-dimensional 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 Numerical study for the c-dependence of fractal dimension in two-dimensional quantum gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical study for the c-dependence of fractal dimension in two-dimensional quantum gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-42916