Glueballs and the Pomeron

TL;DR

This paper models glueballs as bound states of gluons using a relativistic wave equation, deriving a mass formula consistent with lattice data and analyzing the Pomeron trajectory to match experimental observations.

Contribution

It introduces an interpolating mass formula for glueballs and derives the complex Pomeron trajectory from a relativistic gluon interaction model.

Findings

Glueball masses agree with lattice data.

Derived complex Pomeron trajectory matches HERA data.

Parameters of the soft Pomeron are determined from fits.

Abstract

Glueballs are considered to be bound states of constituent gluons. Relativistic wave equation for two massive gluons interacting by the funnel-type potential is analyzed. Using two exact asymptotic solutions of the equation, we derive an interpolating mass formula and calculate glueball masses in agreement with the lattice data. We obtain the complex non-linear Pomeron trajectory, $\alpha_P(t)$, in the whole region of $t$. The real part of the trajectory corresponds to the soft Pomeron, parameters of which are found from the fit of recent HERA data.