A theory for the conformal factor in quantum R-gravity

A new theory for the conformal factor in R-gravity is developed. The infrared phase of this theory, which follows from the one-loop renormalization group equations for the whole quantum R-gravity theory is described. The one-loop effective potential for the conformal factor is found explicitly and a mechanism for inducing Einstein gravity at the minimum of the effective potential for the conformal factor is suggested. A comparison with the effective theory of the conformal factor induced by the conformal anomaly, and also aiming to describe quantum gravity at large distances, is done. E-mail: [email protected]. Address june-september 1994: Department of Physics, Faculty of Science, Hiroshima University, Higashi-Hiroshima 724, Japan. E-mail: [email protected]. Also at the Department E.C.M., Faculty of Physics, University of Barcelona, Diagonal 647, 08028 Barcelona, Spain.