Lattice Gravity and Random Surfaces

Abstract

I review recent progress in simplicial quantum gravity in three and four dimensions, in particular new results on the phase structure of modified models of dynamical triangulations, the application of a strong-coupling expansion, and the benefits provided by including degenerate triangulations. In addition, I describe some recent numerical and analytical results on anisotropic crystalline membranes.

22 pages, Latex2e, 13 eps-figures. Review talk presented at LATTICE98 (Boulder)

References in corpus (14)

• Strings, loops and others: a critical survey of the present approaches to quantum gravity
• Elasticity, Shape Fluctuations and Phase Transitions in the New Tubule Phase of Anisotropic Tethered Membranes
• 4d Simplicial Quantum Gravity Interacting with Gauge Matter Fields
• 4d Simplicial Quantum Gravity: Matter Fields and the Corresponding Effective Action
• Singular Structure in 4D Simplicial Gravity
• Singular Vertices in the Strong Coupling Phase of Four-Dimensional Simplicial Gravity
• Phase Structure of Dynamical Triangulation Models in Three Dimensions
• Improved Algorithms for Simulating Crystalline Membranes
• The tubular phase of self-avoiding anisotropic crystalline membranes
• Three-Dimensional Simplicial Gravity and Degenerate Triangulations
• Multicanonical simulation of 3D dynamical triangulation model and a new phase structure
• The Strong-Coupling Expansion in Simplicial Quantum Gravity
• Simulating 4D Simplicial Gravity including Degenerate Triangulations
• Anisotropic Membranes

Cited by in corpus (6)

• Dynamically Triangulating Lorentzian Quantum Gravity
• Lattice quantum gravity - an update
• Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity
• Making a Universe
• Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations
• Critical Behaviour in a Planar Dynamical Triangulation Model with a Boundary