Poisson Structure and Moyal Quantisation of the Liouville Theory
High Energy Physics - Theory
2009-11-07 v1
Abstract
The symplectic and Poisson structures of the Liouville theory are derived from the symplectic form of the SL(2,R) WZNW theory by gauge invariant Hamiltonian reduction. Causal non-equal time Poisson brackets for a Liouville field are presented. Using the symmetries of the Liouville theory, symbols of chiral fields are constructed and their *-products calculated. Quantum deformations consistent with the canonical quantisation result, and a non-equal time commutator is given.
Cite
@article{arxiv.hep-th/0105306,
title = {Poisson Structure and Moyal Quantisation of the Liouville Theory},
author = {George Jorjadze and Gerhard Weigt},
journal= {arXiv preprint arXiv:hep-th/0105306},
year = {2009}
}
Comments
32 pages, LaTeX, no figures