Yangian Symmetry and Quantum Inverse Scattering Method for the One-Dimensional Hubbard Model
Condensed Matter
2009-10-28 v3 High Energy Physics - Theory
Abstract
We develop the quantum inverse scattering method for the one-dimensional Hubbard model on the infinite interval at zero density. -matrix and monodromy matrix are obtained as limits from their known counterparts on the finite interval. The -matrix greatly simplifies in the considered limit. The new -matrix contains a submatrix which turns into the rational -matrix of the XXX-chain by an appropriate reparametrization. The corresponding submatrix of the monodromy matrix thus provides a representation of the Y(su(2)) Yangian. From its quantum determinant we obtain an infinite series of mutually commuting Yangian invariant operators which includes the Hamiltonian.
Keywords
Cite
@article{arxiv.cond-mat/9609249,
title = {Yangian Symmetry and Quantum Inverse Scattering Method for the One-Dimensional Hubbard Model},
author = {Shuichi Murakami and Frank Göhmann},
journal= {arXiv preprint arXiv:cond-mat/9609249},
year = {2009}
}
Comments
14 pages, LaTeX, no figures, minor changes