A Lorentzian cure for Euclidean troubles
  There is strong evidence coming from Lorentzian dynamical triangulations that the unboundedness of the gravitational action is no obstacle to the construction of a well-defined non-perturbative path integral. In a continuum approach, a similar suppression of the conformal divergence comes about as the result of a non-trivial path-integral measure. 
J. Ambjorn (NBI, Copenhagen), A. Dasgupta (AEI, Golm), J. Jurkiewicz   (U. Krakow), R. Loll (U. Utrecht)