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Classical and Quantum Nonultralocal Systems on the Lattice | M.A.Semenov-Tian-Shansky
; A.V.Sevostyanov
; | Date: |
7 Sep 1995 | Subject: | hep-th | Affiliation: | Universite de Bourgogne and Steklov Mathematical Institute | Abstract: | We classify nonultralocal Poisson brackets for 1-dimensional lattice systems and describe the corresponding regularizations of the Poisson bracket relations for the monodromy matrix . A nonultralocal quantum algebras on the lattices for these systems are constructed.For some class of such algebras an ultralocalization procedure is proposed.The technique of the modified Bethe-Anzatz for these algebras is developed.This technique is applied to the nonlinear sigma model problem. | Source: | arXiv, hep-th/9509029 | Services: | Forum | Review | PDF | Favorites |
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