Classical and Quantum Nonultralocal Systems on the Lattice
High Energy Physics - Theory
2008-02-03 v5
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.
Cite
@article{arxiv.hep-th/9509029,
title = {Classical and Quantum Nonultralocal Systems on the Lattice},
author = {M. A. Semenov-Tian-Shansky and A. V. Sevostyanov},
journal= {arXiv preprint arXiv:hep-th/9509029},
year = {2008}
}
Comments
33 pp. Latex. The file is resubmitted since it was spoiled during transmission