CROSSOVER SCALE OF THE FIXED-POINT WITH REPLICA SYMMETRY-BREAKING IN THE RANDOM POTTS-MODEL

We study the scaling properties of the renormalization group (RG) flow s in the two-dimensional random Potts model, assuming a general type o f replica symmetry breaking (RSB) in the renormalized coupling matrix. It is shown that in the asymptotic regime the RG flows approach the n on-trivial RSB fixed point algebraically slowly, which reflects the fa ct that this type of the fixed point is marginally stable. As a conseq uence, the crossover spatial scale corresponding to the critical regim e described by this fixed point turns out to be exponentially large. ( C) 1997 American Institute of Physics.