Newtonian potential in quantum Regge gravity
Abstract
We show how the Newtonian potential between two heavy masses can be computed in simplicial quantum gravity. On the lattice we compute correlations between Wilson lines associated with the heavy particles and which are closed by the lattice periodicity. We check that the continuum analog of this quantity reproduces the Newtonian potential in the weak field expansion. In the smooth antide Sitterlike phase, which is the only phase where a sensible lattice continuum limit can be constructed in this model, we attempt to determine the shape and mass dependence of the attractive potential close to the critical point in G. It is found that nonlinear graviton interactions give rise to a potential which is Yukawalike, with a mass parameter that decreases towards the critical point where the average curvature vanishes. In the vicinity of the critical point we give an estimate for the effective Newton constant.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(94)00495Z
 arXiv:
 arXiv:hepth/9406163
 Bibcode:
 1995NuPhB.435..361H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 (47 pages), CERNTH.7314/94