Although, at present, we still do not have a theory of quantized Einstein's gravity in 4-dimensions, these last years have seen a considerable increase of interest and many efforts have been directed to the solution of this problem. We are studying the several topics related with these efforts.
B represents the effect of renormalization due to the interaction term in our model.
We have treated the general problem of quantizing the gauge field theory in presence of anomaly. The results make possible to analyse the consistency of the recent models proposed for 2-d gravity such as Refs. The applications to the problems in statistical mechanics. 224 T. Burwick. Les Houches Lectures 1994.