Relativistic Particle in the Liouville Field

Details Relativistic Particle in the Liouville Field Relativistic Particle in the Liouville Field

1997-09-08

arxiv.org/abs/hep-th/9709059v1

Theor.Math.Phys. 118 (1999) 183-196; Teor.Mat.Fiz. 118 (1999) 229-247

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex, no figures

Scientific paper

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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