3.11 Coupling to scalar matter
The coupling of Regge gravity to scalar matter was investigated by Hamber and Williams [120, 116] for
, 
, and various 
-values. They considered a single, massive scalar field, with an action
contribution
where 
, 
denote the 4-volumes associated with the vertices and edges. Most data were obtained on
the 44-lattice, with the measure 
. The inclusion of the scalar field leads to a slight decrease in
the average volume and edge length, as well as a very slight decrease in 
. They again performed a fit
for 
according to (17) and found that the critical exponent and the location of 
were almost
unchanged.
) and found that the critical exponent and the location of 
