Classical and Quantum Nonultralocal Systems on the Lattice
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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.
33 pp. Latex. The file is resubmitted since it was spoiled during transmission
33 pp. Latex. The file is resubmitted since it was spoiled during transmission