Gauge Invariant Formulation of the Self-Interacting Duffin-Kemmer-Petiau Equations

We show that the Duffin-Kemmer-Petiau equation, minimally coupled to an Abelian gauge field, can be regarded as a matrix equation for potential produced internally from matter fields. This solved rational expression in terms of currents bilinear wave function, together with similar field strength tensor, thus providing invariant formulation self-interacting DKP equations. give derivation this result 5 component system, by analogy Dirac case. To end, we establish algebraic structure set currents, and properties minimal generating set, which consists two scalars four-vectors, single quadratic constraint.