Published December 24, 2001 | Version v1
Journal article

Poisson structure and Moyal quantisation of the Liouville theory

Description

The symplectic and Poisson structures of the Liouville theory are derived from 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 local fields are constructed and their *-products calculated. Quantum deformations consistent with the canonical quantisation result, and a non-equal time commutator is given

Additional details

Identifiers

PII
S0550321301005259;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
619
Journal Issue
1-3
Journal Page Range
p. 232-256
ISSN
0550-3213
CODEN
NUPBBO

Optional Information

Copyright
Copyright (c) 2001 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.