Duality symmetry in high energy scattering

TL;DR

This paper explores the duality symmetry between linear and nonlinear high energy evolution equations in QCD, revealing a deep connection related to integrability and extending the symmetry to non-forward scattering.

Contribution

It demonstrates the duality symmetry between the BFKL and BK equations and generalizes it to non-forward scattering, providing a physical interpretation in terms of kernel rotation.

Findings

Duality symmetry links dipole and reggeized gluon formulations.

Extended duality applies to non-forward scattering.

Duality symmetry suggests integrability of the BK equation.

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.