CONFORMAL INVARIANCE AND ASYMPTOTIC FREEDOM IN QUANTUM GRAVITY

It is shown that quantum gravity is free of the zero-charge" contradiction inherent in quantum electrodynamics. Two thinkable versions of a renormalization program are further considered. Both lead through a renormalization group analysis to the conclusion of asymptotic freedom of the gravity theory. The effective lagrangian of the gravitational field at small distances is conformally invariant and contains derivatives of order ∇4ln∇2. © 1978."