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25 April 2024
 
  » arxiv » hep-th/9509029

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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
AffiliationUniversite de Bourgogne and Steklov Mathematical Institute
AbstractWe 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
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