Scaling Behavior in 4D Simplicial Quantum Gravity
  Scaling relations in four-dimensional simplicial quantum gravity are proposed using the concept of the geodesic distance. Based on the analogy of a loop length distribution in the two-dimensional case, the scaling relations of the boundary volume distribution in four dimensions are discussed in three regions: the strong-coupling phase, the critical point and the weak-coupling phase. In each phase a different scaling behavior is found. 
H.S.Egawa, T.Hotta, T.Izubuchi, N.Tsuda and T.Yukawa