Dipole amplitude correlation in saturation model beyond mean field approximation

Abstract

In this paper we calculate dipole amplitude and dipole amplitude correlations using first and second equation from Balitsky-Kovchegov hierarchy. Our analysis shows that even in presence of weak dipole correlation in initial condition mean field approximation breaks down through evolution. This difference asymptotically grows not only by absolute value but also by relative difference of dipole correlation from mean field value. This could affect physical values related to dipole correlation such as elliptic flow $v_2$ and 'back-forward' asymmetry in saturation model.