A quantum electrodynamics for vector mesons with arbitrary magnetic dipole ancl electric quadrupole moments is co~lstructed in which the vector meson is described by a six-component column matrix satisfying a single equation of motion with no auxiliary condition. To avoid an interaction Hamiltonian which has an infinite number of surface terms, the S matrix is derived directly from Grecn-function solutions of the equations oi motion. I n the reduction of the S matrix, terms appear vhich do not correspond to Feynman-type terms but which vanish if only regularized integrals are used. The Feynman rules are then identical in form to the rules for scalar electrodynamics. A distinct calculational advantage of this theory is that all components of the 170ck-space operators are treated on an equal footing and create and destroy particles in definite energy and hclicity states. Trace theorems lor the covariantly defined spin-1 matrices are given to further facilitate calculations. The same techniques are applied to the electrodynamics of arbitrary-spin particles.h discussion of the renormalization is given: All of the theories are found to be nonrenormalizable.

A procedure for quantization is given which does not require the canonical formalism. Only the equation of motion for the field and the resulting conserved current are needed to derive all the necessary commutators or anticommutators, the operators which represent the physical observables, the reduction formulas, and vacuum expectation values for the particle fields. The formalism is sufficiently general so that it holds for fields, or a superposition of fields, of arbitrary mass and spin.

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