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Article overview
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Zero Mode Problem of Liouville Field Theory | George Jorjadze
; Gerhard Weigt
; | Date: |
4 Jul 2002 | Subject: | hep-th | Abstract: | We quantise canonical free-field zero modes $p$, $q$ on a half-plane $p>0$ both, for the Liouville field theory and its reduced Liouville particle dynamics. We describe the particle dynamics in detail, calculate one-point functions of particle vertex operators, deduce their zero mode realisation on the half-plane, and prove that the particle vertex operators act self-adjointly on a Hilbert space $L^2(
r_+)$ on account of symmetries generated by the $S$-matrix. Similarly, self-adjointness of the corresponding vertex operator of Liouville field theory in the zero mode sector is obtained by applying the Liouville reflection amplitude, which is derived by the operator method. | Source: | arXiv, hep-th/0207041 | Services: | Forum | Review | PDF | Favorites |
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