Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation

N. A. Slavnov

doi:10.1088/1742-5468/2015/03/P03019

Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation

Mathematical Physics 2015-03-23 v2 math.MP

Authors: N. A. Slavnov

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

We study quantum integrable GL(3)-based models with a trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. We derive a determinant representation for a special case of scalar products of Bethe vectors. This representation allows one to find a determinant formula for the form factor of one of the monodromy matrix entries. We also point out essential difference between form factors in the models with the trigonometric R-matrix and their analogs in GL(3)-invariant models.

Keywords

bethe ansatz star product

Cite

@article{arxiv.1501.06253,
  title  = {Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation},
  author = {N. A. Slavnov},
  journal= {arXiv preprint arXiv:1501.06253},
  year   = {2015}
}

Comments

27 pages; typos corrected

Related papers

View all related →