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7 papers · 2 filters
Blocking of Dynamical Triangulations with Matter
E. Gregory, S. M. Catterall, G. Thorleifsson
We use the recently proposed node decimation algorithm for blocking dynamical geometries to investigate a class of models, with central charge greater than unity, coupled to 2D gra…
Suppressing Curvature Fluctuations in Dynamical Triangulations
M. J. Bowick, S. M. Catterall, G. Thorleifsson
We study numerically the dynamical triangulation formulation of two-dimensional quantum gravity using a restricted class of triangulation, so-called minimal triangulations, in whic…
The flat phase of fixed-connectivity membranes
M. J. Bowick, S. Catterall, M. Falcioni +2
The statistical mechanics of flexible two-dimensional surfaces (membranes) appears in a wide variety of physical settings. In this talk we discuss the simplest case of fixed-connec…
Simplicial Gravity in Dimension Greater than Two
S. Catterall, G. Thorleifsson, R. Renken +1
We consider two issues in the DT model of quantum gravity. First, it is shown that the triangulation space for D>3 is dominated by triangulations containing a single singular (D-3)…
Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for
J. Ambjorn, K. N. Anagnostopoulos, U. Magnea +1
We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a…
Geometrical Interpretation of the KPZ Exponents
J. Ambjorn, K. N. Anagnostopoulos, U. Magnea +1
We provide evidence that the KPZ exponents in two-dimensional quantum gravity can be interpreted as scaling exponents of correlation functions which are functions of the invariant…