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

Lunardi, J. T. (2017) A note on the Duffin-Kemmer-Petiau equation in (1+1) space-time dimensions. Journal of Mathematical Physics, 58(12), 123501. (doi: 10.1063/1.5016163)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Lunardi, Professor Jose Tadeu
Authors: Lunardi, J. T.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Journal of Mathematical Physics
Publisher:AIP Publishing
ISSN:0022-2488
ISSN (Online):1089-7658
Published Online:05 December 2017
Copyright Holders:Copyright © 2017 AIP Publishing
First Published:First published in Journal of Mathematical Physics 58(12): 123501
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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