Three Dimensional Quantum Gravity Coupled to Ising Matter

Abstract

We establish the phase diagram of three--dimensional quantum gravity coupled to Ising matter. We find that in the negative curvature phase of the quantum gravity there is no disordered phase for ferromagnetic Ising matter because the coordination number of the sites diverges. In the positive curvature phase of the quantum gravity there is evidence for two spin phases with a first order transition between them.

12 pages

Cited by in corpus (7)

• Nonperturbative Quantum Gravity
• 4D Quantum Gravity Coupled to Matter
• Phase Structure of Dynamical Triangulation Models in Three Dimensions
• Ising (anti-)ferromagnet on dynamical triangulations and quadrangulations
• Random Surfaces and Lattice Gravity
• Phase diagram of three-dimensional dynamical triangulations with a boundary
• Phase diagram of four-dimensional dynamical triangulations with a boundary