English

A no-go theorem for the $n$-twistor description of a massive particle

High Energy Physics - Theory 2017-03-07 v3 Mathematical Physics math.MP

Abstract

It is proved that the nn-twistor expression of a particle's four-momentum vector reduces, by a unitary transformation, to the two-twistor expression for a massive particle or the one-twistor expression for a massless particle. Therefore the {\em genuine} nn-twistor description of a massive particle in four-dimensional Minkowski space fails for the case n3n\ge3.

Keywords

Cite

@article{arxiv.1606.01339,
  title  = {A no-go theorem for the $n$-twistor description of a massive particle},
  author = {Satoshi Okano and Shinichi Deguchi},
  journal= {arXiv preprint arXiv:1606.01339},
  year   = {2017}
}

Comments

10 pages, minor corrections, published version