English

Relativistic Particle in the Liouville Field

High Energy Physics - Theory 2007-05-23 v1

Abstract

A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is SL(2,R)/Z2SL(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.

Keywords

Cite

@article{arxiv.hep-th/9709059,
  title  = {Relativistic Particle in the Liouville Field},
  author = {George Jorjadze and Wlodzimierz Piechocki},
  journal= {arXiv preprint arXiv:hep-th/9709059},
  year   = {2007}
}

Comments

17 pages, Latex, no figures