Correlations and Binding in 4D Dynamical Triangulation

Here N2 is the number of triangles in the simplicial manifold consisting of N4 four-simplices and the topology is chosen to be that of S. (For more details see [1].) We recall that the system has two phases, a crumpled phase at low κ2 and an elongated phase at high κ2. The model is supposed to represent the quantum gravitational path integral over euclidean spacetimes weighted with the Regge-Einstein action, with volume V ∝ N4 and bare Newton constant G0 ∝ κ 2 . As such it should be able to reproduce semiclassical Einstein gravity as an effective theory. This can presumably be investigated using coordinate invariant correlation functions. Another test is to see if scalar test particles form bound states, with appropriate binding energies under nonrelativistic conditions. In [2] we reported on such preliminary binding energy calculations. More insight was needed