Massless particle in 2d spacetime with constant curvature

Details Massless particle in 2d spacetime with constant curvature Massless particle in 2d spacetime with constant curvature

1998-12-22

arxiv.org/abs/hep-th/9812199v2

Phys.Lett. B448 (1999) 203-208

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX2e, no figures, submitted for publication; Representation defined by Eqs.(3.11-3.13) is not a new one. It was d

Scientific paper

10.1016/S0370-2693(99)00060-X

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 $sl(2.{\bf R})$ 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 $SO_\uparrow (2.1)$ group.

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