Gravitational binding in 4D dynamical triangulation

Abstract

In the dynamical triangulation model of four dimensional euclidean quantum gravity we investigate gravitational binding. Two scalar test particles (quenched approximation) have a positive binding energy, thereby showing that the model can represent gravitational attraction.Comment: 19 pages, LaTeX2e, version as accepted by Nucl Phys

The Asymptotic Safety Scenario in Quantum Gravity

“…On a nonperturbative level this type of correlations have been discussed mostly in discretized formulations but the principle is of course general. To fix ideas we note the example of a geodesic two point correlator of a scalar field ϕ [58], where Σ g ( x , y ) is the minimal geodesic distance between the the points x and y . The first integral is the heuristic geometry and matter functional integral; all configurations are taken into account which produce the given geodesic distance R .…”

Planckian Birth of a Quantum de Sitter Universe

“…Let e n t be the eigenfunctions of the quadratic form given by (11) with the volume constraint enforced, ordered according to increasing eigenvalues n . If this cosmological continuum model were to give the correct description of the computer-generated universe, the matrix…”

Scaling Behavior in 4D Simplicial Quantum Gravity

“…In ref. 13), we see that the effective curvature increases steeply (diverges) when D → 0 in all phases of κ 2 : 0.8(strong phase) ≤ κ 2 ≤ 1.5 (weak phase) and the authors suggest the existence of a 'plankian regime'; D ∼ 7.5 on grounds of the divergence. Our data of the baby boundaries are consistent with their view; also, the data of the mother and baby boundaries clear the origin of the scaling relations, which has been argued in ref.13),14).…”

“…From Fig.1, 2 there is no doubt that the dynamically triangulated manifold becomes crumple in the strong-coupling phase and a branched polymer in the weak-coupling phase. [13,14] We now devote a little more space to explaining the loop length distributions in twodimensional dynamically triangulated surfaces. We suppose a disk which is covered within a geodesic distance of D from the arbitrary triangle.…”

“…(3) corresponds to an effective theory which shows a rapid phase transition as well as three different types of scaling relations in each phase. [13,15] In ref. 16) we can find a discussion of another model which may have a continuous transition.…”