14.2k citations
- Massachusetts Institute of TechnologyUS1.1k papers
- University of GlasgowGB985 papers
- University of CambridgeGB950 papers
- University of BirminghamGB932 papers
- Centre National de la Recherche ScientifiqueFR919 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT880 papers
- University of Maryland, College ParkUS873 papers
- National Institute for Subatomic PhysicsNL869 papers
- Rutherford Appleton LaboratoryGB856 papers
- University of OxfordGB853 papers
- Tsinghua UniversityCN847 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR833 papers
6 papers · 2 filters
Singular Vertices and the Triangulation Space of the D-sphere
S. Catterall, G. Thorleifsson, J. Kogut +1
By a sequence of numerical experiments we demonstrate that generic triangulations of the sphere for contain one {\it singular} simplex. The mean number of element…
Lattice Quantum Gravity: Review and Recent Developments
S. Catterall
We review the status of different approaches to lattice quantum gravity indicating the successes and problems of each. Recent developments within the dynamical triangulation formul…
A Real-Space Renormalization Group for Random Surfaces
G. Thorleifsson, S. Catterall
We propose a new real-space renormalization group transformation for dynamical triangulations. It is shown to preserve geometrical exponents such as the string susceptibility and H…
The Phase Diagram of Crystalline Surfaces
K. N. Anagnostopoulos, M. J. Bowick, S. M. Catterall +2
We report the status of a high-statistics Monte Carlo simulation of non-self-avoiding crystalline surfaces with extrinsic curvature on lattices of size up to nodes. We impo…
Baby Universes in 4d Dynamical Triangulation
S. Catterall J. Kogut, R. Renken, G. Thorleifsson
We measure numerically the distribution of baby universes in the crumpled phase of the dynamical triangulation model of 4d quantum gravity. The relevance of the results to the issu…
Scaling and the Fractal Geometry of Two-Dimensional Quantum Gravity
S. Catterall, G. Thorleifsson, M. Bowick +1
We examine the scaling of geodesic correlation functions in two-dimensional gravity and in spin systems coupled to gravity. The numerical data support the scaling hypothesis and in…