Duality symmetry in high energy scattering

Abstract

We discuss the duality symmetry of the linear(BFKL) and the non-linear(BK) high energy evolutions in the multicolor limit. We show that the usual color dipole picture is dual to the forward reggeized gluon formulation. The presented analysis is also generalized to the non-forward case where we suggest an extended version of the duality symmetry. We give it a physical interpretation as a symmetry under rotation of the Kernel in the transverse space from s-channel(dipoles) to t-channel(reggeized gluons). The duality symmetry is related to the integrability of the system. The duality symmetry of the BK equation found in the present study can be regarded as an indirect indication of its integrability.