Massless particle in 2d spacetime with constant curvature

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 $sl(2.\mathbf{R})$ 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 $S{O}_{\uparrow }(2.1)$ group.

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

References in corpus (1)

• Dynamical Ambiguities in Singular Gravitational Field

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