220 citations · 3.6k across the 134 of their papers we have counts for
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Monte Carlo Renormalization of 2d Simplicial Quantum Gravity Coupled to Gaussian Matter
Eric B. Gregory, Simon M. Catterall, Gudmar Thorleifsson
We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Mon…
Dynamics of the Conformal Mode and Simplicial Gravity
S. Catterall, E. Mottola, T. Bhattacharya
We review the derivation of the Liouville action in 2DQG via the trace anomaly and emphasize how a similar approach can be used to derive an effective action describing the long wa…
Anisotropic Membranes
M. Bowick, S. Catterall, S. Warner +2
We describe the statistical behavior of anisotropic crystalline membranes. In particular we give the phase diagram and critical exponents for phantom membranes and discuss the gene…
Phase diagram of three-dimensional dynamical triangulations with a boundary
Simeon Warner, Simon Catterall, Ray Renken
We use Monte Carlo simulation to study the phase diagram of three-dimensional dynamical triangulations with a boundary. Three phases are indentified and characterized. One of these…