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Название: The Ising Model on a Quenched Ensemble of c=-5 Gravity Graphs
Авторы: Anagnostopoulos K.N., Bialas P., Thorleifsson G.
Journal of Statistical Physics, Vol. 94, Nos. 34, 1999, p. 321-345.
We study with Monte Carlo methods an ensemble of c=-5 gravity graphs, generated by coupling a conformal field theory with central charge c=-5 to two-dimensional quantum gravity. We measure the fractal properties of the ensemble, such as the string susceptibility exponent gamma and the intrinsic fractal dimension d(H). We find gamma(x)=-1.5(1) and d(H)=3.36(4), in reasonable agreement with theoretical predictions. In addition, we study the critical behavior of an Ising model on a quenched ensemble of the c=-5 graphs and show that it agrees, within numerical accuracy, with theoretical predictions for the critical behavior of an Ising model coupled dynamically to two-dimensional quantum gravity, with a total central charge of the matter sector c=-5.