${\rm GL}(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators

Symmetry Integrability and Geometry-Methods and Applications

article

Stanislav Pakuliak¹  Eric Ragoucy²  Nikita A. Slavnov³ 

[1] Institute of Theoretical & Experimental Physics;Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie;Steklov Mathematical Institute

关键词: Bethe ansatz;    quantum af fine algebras;    composite models;   

DOI  :  10.3842/SIGMA.2015.064

来源: National Academy of Science of Ukraine

【 摘 要 】

We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the ${\rm GL}(3)$-invariant $R$-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product of two partial monodromy matrices. Assuming that the last ones can be expanded into series with respect to the inverse spectral parameter we calculate matrix elements of the local operators in the basis of the transfer matrix eigenstates. We obtain determinant representations for these matrix elements. Thus, we solve the inverse scattering problem in a weak sense.

【 授权许可】

Unknown