Running coupling and BFKL pomeron
  We show that in the case of the BFKL pomeron with running coupling the diffusion pattern is strongly modified and is characterised by the sudden tunneling transition to the non-perturbative regime. We suggest that by using the b - expansion method one can suppress the non-perturbative Pomeron and isolate purely perturbative part of the gluon Green's function. 
A.M. Stasto