Relativistic Particle in the Liouville Field

George Jorjadze; Wlodzimierz Piechocki

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arXiv · hep-th/9709059

Relativistic Particle in the Liouville Field

George Jorjadze·Wlodzimierz Piechocki

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Abstract

A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is $SL(2,R)/Z_2$. The corresponding dynamical integrals describe full set of classical trajectories. Dynamical integrals are used for the gauge-invariant Hamiltonian reduction. The new scheme is proposed for quantization of the reduced system. Obtained quantum system reproduces classical symmetry. Physical aspects of the model are discussed.

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George Jorjadze, Wlodzimierz Piechocki. 1997-09-08. Relativistic Particle in the Liouville Field. https://arxiv.org/abs/hep-th/9709059

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