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arXiv · hep-th/0105306

Poisson Structure and Moyal Quantisation of the Liouville Theory

George Jorjadze·Gerhard Weigt
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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.

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George Jorjadze, Gerhard Weigt. 2001-05-30. Poisson Structure and Moyal Quantisation of the Liouville Theory. https://doi.org/10.1016/s0550-3213(01)00525-9

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