A NUMERICAL TEST OF KPZ SCALING: POTTS MODELS COUPLED TO TWO-DIMENSIONAL QUANTUM GRAVITY
- 7 June 1992
- journal article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 7 (17) , 1519-1533
- https://doi.org/10.1142/s0217732392001191
Abstract
We perform Monte-Carlo simulations using the Wolff cluster algorithm of the q=2 (Ising), 3, 4 and q=10 Potts models on dynamical phi-cubed graphs of spherical topology with up to 5000 nodes. We find that the measured critical exponents are in reasonable agreement with those from the exact solution of the Ising model and with those calculated from KPZ scaling for q=3, 4 where no exact solution is available. Using Binder’s cumulant we find that the q=10 Potts model displays a first order phase transition on a dynamical graph, as it does on a fixed lattice. We also examine the internal geometry of the graphs generated in the simulation, finding a linear relationship between ring length probabilities and the central charge of the Potts model.Keywords
All Related Versions
This publication has 0 references indexed in Scilit: