Classical and Quantum Nonultralocal Systems on the Lattice

Details Classical and Quantum Nonultralocal Systems on the Lattice Classical and Quantum Nonultralocal Systems on the Lattice

1995-09-07

arxiv.org/abs/hep-th/9509029v5

Physics

High Energy Physics

High Energy Physics - Theory

33 pp. Latex. The file is resubmitted since it was spoiled during transmission

Scientific paper

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.

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