Heavy hybrids with constituent gluons

Hybrid meson energies are calculated in the static quark limit with the Dyn amical Quark Model (DQM). In the DQM, transverse gluons are represented as effective constituents with a dynamically generated mass. Hybrid masses are determined within the Tamm-Dancoff approximation for the resulting relativ istic Salpeter equation. Although the general features of the adiabatic pot ential surfaces correspond with lattice data, the results disagree on level orderings. Similar problems appear to exist in all constituent glue models of hybrids. We conclude that constituent gluons do not accurately represen t soft gluonic degrees of freedom.