Direct solution of the hard pomeron problem for arbitrary conformal weight

TL;DR

This paper introduces a novel method for solving the Baxter equation in noncompact spin systems, providing new insights into the hard Pomeron intercept and extending results to the odderon channel in high-energy QCD.

Contribution

A new technique for solving the Baxter equation that enhances understanding of the hard Pomeron and odderon in high-energy QCD.

Findings

New solutions for the Baxter equation in noncompact spin systems

Enhanced understanding of the hard Pomeron intercept

Extended results to the odderon channel

Abstract

A new method is applied to solve the Baxter equation for the one dimensional system of noncompact spins. Dynamics of such an ensemble is equivalent to that of a set of reggeized gluons exchanged in the high energy limit of QCD amplitudes. The technique offers more insight into the old calculation of the intercept of hard Pomeron, and provides new results in the odderon channel.