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

Satoshi Okano; Shinichi Deguchi

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

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arxiv 1606.01339 v3 pith:TZHA6AYS submitted 2016-06-04 hep-th math-phmath.MP

Satoshi Okano , Shinichi Deguchi This is my paper · ORCID

classification hep-thmath-phmath.MP

keywords particleexpressionmassivetwistordescriptioncasefailsfour-dimensional

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abstract

It is proved that the $n$-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} $n$-twistor description of a massive particle in four-dimensional Minkowski space fails for the case $n\ge3$.

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Inhomogeneous transformations in a gauged twistor formulation of a massive particle
hep-th 2024-11 reject novelty 6.0 of 10

By extending local U(2) to IU(2) and letting h and \bar h transform as gauge fields, the paper claims that the mass-shell constraints of the Deguchi-Okano twistor action are required by symmetry rather than inserted by hand.

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