High energy QCD as a completely integrable model

TL;DR

This paper demonstrates that a lattice model for high energy QCD scattering is fully integrable, identifying it as a noncompact XXX Heisenberg chain, and develops a Bethe ansatz for its diagonalization and scattering calculations.

Contribution

It establishes the integrability of Lipatov's high energy QCD model and formulates a generalized Bethe ansatz for solving it.

Findings

Model is equivalent to a noncompact XXX Heisenberg chain.

Conservation laws of the model are identified.

A generalized Bethe ansatz is developed for calculations.

Abstract

We show that the one-dimensional lattice model proposed by Lipatov to describe the high energy scattering of hadrons in multicolor QCD is completely integrable. We identify this model as the XXX Heisenberg chain of noncompact spin $s=0$ and find the conservation laws of the model. A generalized Bethe ansatz is developed for the diagonalization of the hamiltonian and for the calculation of hadron-hadron scattering amplitude.