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

Mathematical Physics 2017-12-07 v2 High Energy Physics - Theory math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1705.09330,
  title  = {A note on Duffin-Kemmer-Petiau equation in (1+1) space-time dimensions},
  author = {José T. Lunardi},
  journal= {arXiv preprint arXiv:1705.09330},
  year   = {2017}
}

Comments

3 pages, no figures