Localizability, gauge symmetry and Newton-Wigner operator for massless particles

Piotr Kosinski; Pawel Maslanka

doi:10.1016/j.aop.2018.08.012

Localizability, gauge symmetry and Newton-Wigner operator for massless particles

High Energy Physics - Theory 2018-11-14 v3 Mathematical Physics math.MP

Authors: Piotr Kosinski , Pawel Maslanka

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Abstract

The notion of position operator for massless spinning particles is discussed in some detail. The noncommutativity of coordinates is related to the gauge symmetry following from the freedom in definition of standard state in Wigner's construction of induced representations of Poincare group. The counterpart of Newton-Wigner operator is discussed. It is explained why the Newton-Wigner construction works only for helicity $\mid\lambda\mid\leq1/2$ .

Keywords

massless particles position operator gauge symmetry newton-wigner operator helicity poincare group induced representations

Cite

@article{arxiv.1806.09372,
  title  = {Localizability, gauge symmetry and Newton-Wigner operator for massless particles},
  author = {Piotr Kosinski and Pawel Maslanka},
  journal= {arXiv preprint arXiv:1806.09372},
  year   = {2018}
}

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19 pages, no figures, few references added

Localizability, gauge symmetry and Newton-Wigner operator for massless particles

Abstract

Keywords

Cite

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