Non-linear evolution of unintegrated gluon density at large values of coupling constant

Abstract

We propose an evolution equation for unintegrated gluon densities that is valid for large values of the QCD coupling constant ${\bar{\alpha }}_s$. Our approach is based on the linear resummation model introduced by Staśto. We generalize the model including a non-linear term in the diffusive regime. The validity of the diffusive evolution at strong coupling is supported by the AdS/CFT consideration, as well as perturbative arguments. We solve the evolution equation numerically and extract the saturation scale, which we compare with the weak coupling counterpart.

Comments: 18 pages, 7 figures. Plot of saturation scale in section 5 refined. Accepted for publication in PRD