Relating different approaches to nonlinear QCD evolution at finite gluon density - art. no. 114005

We analyze the relation between evolution equations at low x that have been derived in different approaches in the last several years. We show that th e equation derived by Balitsky and Kovchegov is obtained from the Jalilian- Marian-Kovner-Leonidov-Weigert (JKLW) equation in the limit of small induce d charge density. We argue that the higher nonlinearities resummed by the J KLW equation correspond, in physical terms, to the breakdown of the eikonal approximation when the gluon fields in the target are large.