On gonihedric loops and quantum gravity

We present an analysis of the gonihedric loop model, a reformulation of the two dimensional gonihedric spin model, using two different techniques. First, the usual regular lattice statistical physics problem is mapped onto a height model and studied analytically. Second, the gravitational version of this loop model is studied via matrix models techniques. Both methods lead to the conclusion that the model has $c_{matter}=0$ for all values of the parameters of the model. In this way it is possible to understand the absence of a continuous transition

Renormalization Group For Random Matrix Models

this article was written. This work is supported in part by Grant-in-Aid for Scientific Research and (N.S., No.05640334), Grant-in-Aid for Scientific Research for Priority Areas (N.S., No.05230019) from the Ministry of Education, Science and Culture. Reference