  Hybrid meson energies are calculated in the static quark limit with the
Dynamical 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 relativistic
Salpeter equation. Although the general features of the adiabatic potential
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 represent soft gluonic
degrees of freedom. The steps necessary to correct this deficiency are
discussed.
