Vector coupling and bound states of fermions in three space dimensions

The behavior of fermions interacting via vector gluons in the strong-coupling limit is investigated. A suitable coupling between the Dirac and the vector-gluon field gives rise to bound-state solutions. The coherent field approximation is employed to find the bound-state masses, which are further discussed by analytical and numerical methods and are found to be positive-definite in the example considered numerically.