The quantization of galilean duffin-kemmer-petiau field

we study the quantization of the galilean covariant duffin-kemmer-petiau (dkp) field in a five-dimensional manifold. the quantization is performed both in the canonical and in the path-integral scenario. it is considered a representation of the duffin-kemmer-petiau matrices which provides the scalar sector of the model, generating the manifestly galilei-covariant version of the quantized schr？dinger field in a consistent way. besides, an analysis of the green's function is done, as well as the basis of the interacting dkp field.