On the kinematics of the last Wigner particle
High Energy Physics - Theory
2019-10-18 v3 Mathematical Physics
math.MP
Abstract
Wigner's particle classification provides for "continuous spin" representations of the Poincar\'e group, corresponding to a class of (as yet unobserved) massless particles. Rather than building their induced realizations by use of "Wigner rotations" in the textbooks' way, here we exhibit a scalar-like first-quantized form of those (bosonic) Wigner particles directly, by combining wave equations proposed by Wigner long ago with a recent prequantized treatment employing Poisson structures.
Keywords
Cite
@article{arxiv.1809.00387,
title = {On the kinematics of the last Wigner particle},
author = {José M. Gracia-Bondía and Joseph C. Várilly},
journal= {arXiv preprint arXiv:1809.00387},
year = {2019}
}
Comments
Latex, 17 pages; v2: a few clarifications and corrections, 4 references added. v3: minor corrections to agree with publication version