A note on Duffin-Kemmer-Petiau equation in (1+1) space-time dimensions. (arXiv:1705.09330v2 [math-ph] UPDATED)
In the last years several papers addressed the supposed spin-1 sector of the
massive Duffin-Kemmer-Petiau (DKP) equation restricted to (1+1) space-time
dimensions. In this note we show explicitly that this is a misleading approach,
since the DKP algebra in (1+1) dimensions admits only a spin-0 representation.
Our result also is useful to understand why several recent papers found
coincident results for both spin-0 and spin-1 sectors of the DKP theory in
(3+1) dimensions when the dynamics is restricted to one space dimension.