arXiv:1207.0956 · Journal of Statistical Mechanics Theory and Experiment

The algebraic Bethe ansatz for scalar products inSU(3)-invariant integrable models

S. Belliard, S Pakuliak, E. Ragoucy, N A Slavnov

Published Oct 23, 2012• 74 citations

Abstract

We study S U (3)-invariant integrable models solvable by a nested algebraic Bethe ansatz. We obtain a determinant representation for the particular case of scalar products of Bethe vectors. This representation can be used for the calculation of form factors and correlation functions of the XXX S U (3)-invariant Heisenberg chain.

DOI: 10.1088/1742-5468/2012/10/p10017

Related papers

The algebraic Bethe ansatz for scalar products in $SU(3)$-invariant integrable models

S. Belliard, S. Pakuliak, E. Ragoucy +1 more

We study SU(3)-invariant integrable models solvable by nested algebraic Betheansatz. We obtain a determinant representation for particular case of scalarproducts of Bethe vectors. This representation can be used for the calculationof form factors and correlation functions of XXX SU(3)-invariant Heisenbergchain.

Jan 1, 201218 citations

Form factors inSU(3)-invariant integrable models

S. Belliard, S Pakuliak, E. Ragoucy +1 more

We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. We obtain determinant representations for form factors of diagonal entries of the monodromy matrix. This representation can be used for the calculation of form factors and correlation functions of the XXX SU(3)-invariant Heisenberg chain.

arXiv:1211.3968Journal of Statistical Mechanics Theory and ExperimentApr 26, 201346 citations

Form factors in SU(3)-invariant integrable models

S. Belliard, Stanislav Zdislavovich Pakuliak, E. Ragoucy +1 more

Aug 17, 201655 citations

Form factors in quantum integrable models with GL(3) -invariant R-matrix

Stanislav Zdislavovich Pakuliak, E. Ragoucy, N. A. Slavnov

We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant R-matrix. We obtain determinant representations for form factors of off-diagonal entries of the monodromy matrix. These representations can be used for the calculation of form factors and correlation functions of the XXX SU(3)-invariant Heisenberg chain.

arXiv:1312.1488Nuclear Physics BFeb 18, 201453 citations

Highest coefficient of scalar products inSU(3)-invariant integrable models

S. Belliard, Stanislav Zdislavovich Pakuliak, E. Ragoucy +1 more

We study S U (3)-invariant integrable models solvable by nested algebraic Bethe ansatz. Scalar products of Bethe vectors in such models can be expressed in terms of a bilinear combination of their highest coefficients. We obtain various different representations for the highest coefficient in terms of sums over partitions. We also obtain multiple integral representations for the highest coefficient.

arXiv:1206.4931Journal of Statistical Mechanics Theory and ExperimentSep 6, 201261 citations

Scalar products of Bethe vectors in models with gl(2 vertical bar 1) symmetry 2. Determinant representation

Arthur Hutsalyuk, Andrii Nikolaevich Liashyk, Stanislav Zdislavovich Pakuliak +2 more

We study integrable models with symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters obey some relations weaker than the Bethe equations. This representation allows us to find the norms of on-shell Bethe vectors and obtain determinant formulas for form factors of the diagonal entries of the monodromy matrix.

Jan 1, 201720 citations