Classification of four-Reggeon states in multi-colour QCD

TL;DR

This paper analyzes the spectrum of four-Reggeon states in multi-colour QCD using the Q-Baxter operator method, revealing complex spectral relations and computing corrections to WKB approximation.

Contribution

It introduces a detailed analysis of the N=4 Reggeon spectrum and computes WKB corrections, advancing understanding of multi-Reggeon states in QCD.

Findings

Complex relations between q_3 and q_4 spectra are identified.

WKB approximation corrections for N=4 and q_3=0 are calculated.

The spectrum exhibits a complicated structure with integrals of motion.

Abstract

N-Reggeized gluon states in Quantum Chromodynamics are described by BKP equation. In order to solve this equation for N>3 particles the Q-Baxter operator method is used. Spectrum of the integrals of motion of the system exhibits a complicated structure. In this work we consider the case with N=4 Reggeons where complicated relations between q_3-spectrum and q_4-spectrum are analysed. Moreover, corrections to WKB approximation for N=4 and q_3=0 are computed.