Note on rotational properties of position operators of massless particles
arXiv:2312.16876 · doi:10.1016/j.aop.2024.169901
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.
arXiv comment15 pages, improved version
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