Replica Field Theory of the Dynamical Transition in Glassy Systems
  The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic equation leading to perturbative dimensional reduction. The theory describe accurately numerical simulations of mean-field models. 
Silvio Franz, Giorgio Parisi, Federico Ricci-Tersenghi and Tommaso   Rizzo
cond-mat.stat-mech cond-mat.dis-nn