A relativistic particle in the Liouville field

Authors
Jorjadze, G Piechocki, W
Citation
G. Jorjadze et W. Piechocki, A relativistic particle in the Liouville field, THEOR MATH, 118(2), 1999, pp. 183-196
Citations number
22
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
118
Issue
2
Year of publication
1999
Pages
183 - 196
Database
ISI
SICI code
0040-5779(199902)118:2<183:ARPITL>2.0.ZU;2-B
Abstract
We investigate a model for a relativistic particle in the Liouville field. The model is SL(2, R)/Z(2) invariant. The corresponding dynamic integrals d escribe the whole set of classical trajectories. These integrals are used f or the gauge-invariant Hamiltonian reduction. We propose a new scheme for q uantizing the reduced system. The quantum system obtained reproduces the cl assical symmetry. We discuss the physical aspects of the model.