3d quantum gravity coupled to matter

Abstract

We investigate the phase structure of three-dimensional quantum gravity coupled to an Ising spin system by means of numerical simulations. The quantum gravity part is modelled by the summation over random simplicial manifolds, and the Ising spins are located in the center of the tetrahedra, which constitute the building blocks of the piecewise linear manifold. We find that the coupling between spin and geometry is weak away from the critical point of the Ising model. At the critical point there is clear coupling, which however does not seem to change the first order transition between the ``hot'' and ``cold'' phase of three dimensional simplicial quantum gravity observed earlier.

10 pages, nbi-he-92-31 six figures available as postscript files by request

References in corpus (1)

• 4d Simplicial Quantum Gravity with a Non-Trivial Measure

Cited by in corpus (8)

• Group field theory for quantum gravity minimally coupled to a scalar field
• 4D Quantum Gravity Coupled to Matter
• Lattice Gravity and Random Surfaces
• Three-Dimensional Simplicial Gravity and Degenerate Triangulations
• Random Surfaces and Lattice Gravity
• The Weak-Coupling Limit of Simplicial Quantum Gravity
• Recursive sampling simulations of 3D gravity coupled to scalar fermions
• Phases of Tree-decorated Dynamical Triangulations in 3D