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Note on rotational properties of position operators of massless particles

arXiv
Authors: Michal Dobrski

Year

2023

Paper ID

53007

Status

Preprint

Abstract Read

~2 min

Abstract Words

57

Citations

N/A

Abstract

Nonlinear action of the group of spatial rotations on commuting components of a position operator of a massless particle of arbitrary helicity is studied. It is shown that linearization of this action necessarily leads to the Pryce operator with non-commuting components. The problem is also analyzed from a geometric perspective using Callan, Coleman, Wess and Zumino method.

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  • Nonlinear action of the group of spatial rotations on commuting components of a position operator of a massless particle of arbitrary helicity is studied.

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