Electromagnetic Interaction of the Bargmann-Wigner Fields

It is proposed that the electromagnetic interaction in the Lagrangian formalism for the Bargmann-Wigner fields should be introduced in such a way that the number of linearly independent components of the auxiliary fields is minimized in the resulting field equations. In this way a consistent formulation of the electromagnetic interaction of the Bargmann-Wigner field with spin $\frac{3}{2}$ is obtained, and its equivalence with the Rarita-Schwinger formulation is established.