Reggeized gluon states in Quantum Chromodynamics

TL;DR

This paper solves the BKP equation for reggeized gluon states in QCD, revealing their spectrum and integrals of motion, and applies these results to compute anomalous dimensions in deep inelastic scattering.

Contribution

It provides explicit solutions for the BKP equation for multiple Reggeons and connects these solutions to physical observables in deep inelastic scattering.

Findings

Spectrum of Reggeon energies for N=2 to 8

Explicit wave-functions for Reggeon states

Calculated anomalous dimensions in deep inelastic scattering

Abstract

The reggeized gluon states, which are also called Reggeons, appear in the scattering amplitude of hadrons in Regge limit. The wave-function of Reggeons satisfy the BKP equation, which in multi-colour limit of Quantum Chromodynamics is equivalent to the Schrodinger equation of the XXX Heisenberg SL(2,C) spin chain model. In this work we solve the BKP equation, show the spectrum of the energy and other integrals of motion for a number of Reggeons N=2,...,8. Moreover, we consider deep inelastic scattering where due to the reggeized gluons states we are able to calculate anomalous dimensions and corresponding to their twists.