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arXiv · hep-th/9812199

Massless particle in 2d spacetime with constant curvature

George Jorjadze·Włodzimierz Piechocki
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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 $sl(2.{\bf R})$ 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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George Jorjadze, Włodzimierz Piechocki. 1999-01-07. Massless particle in 2d spacetime with constant curvature. https://doi.org/10.1016/s0370-2693(99)00060-x

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