Phase transitions, massive gravitons and effective action in braneworld   theory
  We construct the holographic type nonlocal effective action in two-brane Randall-Sundrum model and show that it describes a phase transition between the local and nonlocal phases of the theory -- a cumulative effect of the tower of massive Kaluza-Klein modes. We show that the corresponding renormalization group flow interpolating between the limits of short and long interbrane separations can be dynamically mediated by a repulsive interbrane potential that gives rise to braneworld cosmological scenarios with diverging branes. 
A.O.Barvinsky, A.Yu.Kamenshchik, C.Kiefer, and A.Rathke