A version of the coupled
Yang-Mills-Dirac equations for differential forms is presented. In this version
the equations are defined and conformal in any odd dimension; they share
many of the analytic properties of the Yang-Mills-Higgs equations in these
dimensions. A point singularity problem is formulated and solved for the
Yang-Mills-Dirac equations in dimension 3. In this dimension the solutions can be
associated with a definite energy functional resembling the magnetic-monopole
energy.