Massless particle in 2d spacetime with constant curvature
High Energy Physics - Theory
2009-10-31 v2 General Relativity and Quantum Cosmology
Abstract
We consider dynamics of massless particle in 2d spacetimes with constant curvature. We analyze different examples of spacetime. Dynamical integrals are constructed from spacetime symmetry related to algebra. Mass-shell condition restricts dynamical integrals to a cone (without vertex) which defines physical-phase space. We parametrize the cone by canonical coordinates. Canonical quantization with definite choice of operator ordering leads to unitary irreducible representations of group.
Keywords
Cite
@article{arxiv.hep-th/9812199,
title = {Massless particle in 2d spacetime with constant curvature},
author = {George Jorjadze and Włodzimierz Piechocki},
journal= {arXiv preprint arXiv:hep-th/9812199},
year = {2009}
}
Comments
10 pages, LaTeX2e, no figures, submitted for publication; Representation defined by Eqs.(3.11-3.13) is not a new one. It was discovered earlier: Mikhail Plyushchay,J.Math.Phys.34(1993)3954