Poisson Structure and Moyal Quantisation of the Liouville Theory

Poisson Structure and Moyal Quantisation of the Liouville Theory

Nucl.Phys. B619 (2001) 232-256 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 t...

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Hauptverfasser: Jorjadze, George, Weigt, Gerhard
Format: Artikel
Sprache:eng
Schlagworte:
Physics - High Energy Physics - Theory
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Zusammenfassung:Nucl.Phys. B619 (2001) 232-256 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.
DOI:10.48550/arxiv.hep-th/0105306