Note on rotational properties of position operators of massless particles
Quantum Physics
2025-01-20 v3
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.
Cite
@article{arxiv.2312.16876,
title = {Note on rotational properties of position operators of massless particles},
author = {Michal Dobrski},
journal= {arXiv preprint arXiv:2312.16876},
year = {2025}
}
Comments
15 pages, improved version