  We compute scaling solutions of functional flow equations for quantum gravity
in a general truncation with up to four derivatives of the metric. They connect
the asymptotically free ultraviolet fixed point, which is accessible to
perturbation theory, to the non-perturbative infrared region. The existence of
such scaling solutions is necessary for a renormalizable quantum field theory
of gravity. If the proposed scaling solution is confirmed beyond our
approximations asymptotic freedom is a viable alternative to asymptotic safety
for quantum gravity.
