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Poisson Structure and Moyal Quantisation of the Liouville Theory | | George Jorjadze
; Gerhard Weigt
; | | Date: |
30 May 2001 | | Journal: | Nucl.Phys. B619 (2001) 232-256 | | Subject: | hep-th | | 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. | | Source: | arXiv, hep-th/0105306 | | Services: | Forum | Review | PDF | Favorites | |
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