English

The continuous spin limit of higher spin field equations

High Energy Physics - Theory 2009-11-11 v2

Abstract

We show that the Wigner equations describing the continuous spin representations can be obtained as a limit of massive higher-spin field equations. The limit involves a suitable scaling of the wave function, the mass going to zero and the spin to infinity with their product being fixed. The result allows to transform the Wigner equations to a gauge invariant Fronsdal-like form. We also give the generalisation of the Wigner equations to higher dimensions with fields belonging to arbitrary representations of the massless little group.

Keywords

Cite

@article{arxiv.hep-th/0509092,
  title  = {The continuous spin limit of higher spin field equations},
  author = {X. Bekaert and J. Mourad},
  journal= {arXiv preprint arXiv:hep-th/0509092},
  year   = {2009}
}

Comments

18 pages, JHEP style. Typos corrected, references added