Wavepackets on de Sitter spacetime
Mathematical Physics
2019-08-19 v4 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We construct wavepackets on de Sitter spacetime, with masses consistently defined from the eigenvalues of an irreducible representation of a Casimir element in the universal enveloping algebra of the Lorentz algebra and analyse their asymptotic behaviour. Furthermore, we show that, in the limit as the de Sitter radius tends to infinity, the wavepackets tend to the wavepackets of Minkowski spacetime and the plane waves arising after contraction have support sharply located on the mass shell.
Cite
@article{arxiv.1708.00538,
title = {Wavepackets on de Sitter spacetime},
author = {João C. A. Barata and Marcos Brum},
journal= {arXiv preprint arXiv:1708.00538},
year = {2019}
}
Comments
22 pages, as published in Symmetry, Integrability and Geometry: Methods and Applications