On the Duffin-Kemmer-Petiau equation in arbitrary dimensions

Abstract

We review the representations associated with the Duffin-Kemmer-Petiau (DKP) equation for spin-zero and spin-one massive and massless fields in an arbitrary number of space-time dimensions. This work is partly motivated by low dimensions, where the DKP representations are often obtained by reduction from representations in 3 + 1 space-time. We provide explicit representations for arbitrary space-time dimensions and comment on physical applications in low dimensions, such as the generation of topological mass in the plane.We review the representations associated with the Duffin-Kemmer-Petiau (DKP) equation for spin-zero and spin-one massive and massless fields in an arbitrary number of space-time dimensions. This work is partly motivated by low dimensions, where the DKP representations are often obtained by reduction from representations in 3 + 1 space-time. We provide explicit representations for arbitrary space-time dimensions and comment on physical applications in low dimensions, such as the generation of topological mass in the plane.