A scale-invariant "discrete-time" Balitsky Kovchegov equation

Abstract

We consider a version of QCD dipole cascading corresponding to a finite number n of discrete steps Delta Y of branching in rapidity. The discretization scheme preserving the holomorphic factorizability and scale-invariance in position space of the dipole splitting function, we derive an exact recurrence formula from step to step which plays the role of a ``discrete-time'' Balitsky-Kovchegov equation. The BK solutions are recovered in the limit n=infinity and Delta Y=0.