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arxiv: 1705.09330 · v2 · pith:HVRHKKGGnew · submitted 2017-05-16 · 🧮 math-ph · hep-th· math.MP· quant-ph

A note on Duffin-Kemmer-Petiau equation in (1+1) space-time dimensions

classification 🧮 math-ph hep-thmath.MPquant-ph
keywords dimensionsduffin-kemmer-petiauequationnoterestrictedseveralspace-timespin-0
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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.

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