Classical and Quantum Nonultralocal Systems on the Lattice

M. A. Semenov-Tian-Shansky; A. V. Sevostyanov

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arXiv · hep-th/9509029

Classical and Quantum Nonultralocal Systems on the Lattice

M. A. Semenov-Tian-Shansky·A. V. Sevostyanov

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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.

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BibTeX RIS

M. A. Semenov-Tian-Shansky, A. V. Sevostyanov. 1995-09-21. Classical and Quantum Nonultralocal Systems on the Lattice. https://arxiv.org/abs/hep-th/9509029

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