Hamber and Williams [121] used an ansatz coming from a weak-field calculation for the
amplitude of two gravitationally interacting particles separated
by a fixed geodesic distance. They used the
ldl
-measure on a
-lattice, with
and
a
=0. The potential
V
(d) is extracted from the connected Wilson-line to Wilson-line
correlator. >From data in
, and for sufficiently large
k, one finds an attractive potential
V
(d)<0. They considered fits to various shapes of the potential
V, in order to extract an effective Newton's constant. - They also
suggested an effective action for
depending on
and
a
that shares some of the features observed in the simulations.