  We study four-dimensional quantum gravity using non-perturbative
renormalization group methods. We solve the corresponding equations for the
fully momentum-dependent propagator, Newton's coupling and the cosmological
constant. For the first time, we obtain a global phase diagram where the
non-Gaussian ultraviolet fixed point of asymptotic safety is connected via
smooth trajectories to a classical infrared fixed point. The theory is
therefore ultraviolet complete and deforms smoothly into classical gravity as
the infrared limit is approached.
