Dual conformal invariance in the Regge limit

TL;DR

This paper identifies a dual conformal symmetry in the Regge limit of QCD, which, together with existing symmetries, may explain the integrability of the BFKL Hamiltonian and persists under certain unitarity corrections.

Contribution

It uncovers a dual conformal symmetry in QCD's Regge limit and explores its implications for the integrability of the BFKL Hamiltonian and symmetry persistence.

Findings

Dual conformal symmetry is present in the Regge limit of QCD.

The symmetry may explain the integrability of the BFKL Hamiltonian.

Symmetry appears to survive certain unitarity corrections.

Abstract

A dual conformal symmetry, analogous to the dual conformal symmetry observed for the scattering amplitudes of N=4 Super Yang-Mills theory, is identified in the Regge limit of QCD. Combined with the original two-dimensional conformal symmetry of the theory, this dual symmetry can potentially explain the integrability of the BFKL Hamiltonian. We also give evidence that the symmetry survives when a subset of unitarity corrections are taken into account by studying briefly the non-planar 2 to m reggeon transition vertices.