4.7 Influence of the measure
The inclusion of a local measure term corresponding to was studied by Brügmann and
Marinari [56, 57, 58]. This amounts to adding to the action a term of the form , where
is the number of 4-simplices containing a vertex . For , this seems to lead
merely to a shift of the critical line. This setting has been revived recently by Renken [178, 177] in the
context of a renormalization group analysis.