Determinant representations for form factors in quantum integrable models with GL(3)-invariant R-matrix

TL;DR

This paper derives determinant formulas for form factors in GL(3)-invariant quantum integrable models, facilitating the calculation of correlation functions in these systems.

Contribution

It provides the first explicit determinant representations for form factors in models with GL(3) symmetry using nested algebraic Bethe ansatz.

Findings

Determinant formulas for monodromy matrix form factors derived

Applicable to models with GL(3) symmetry

Enables computation of correlation functions

Abstract

We obtain determinant representations for the form factors of the monodromy matrix entries in quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing $GL(3)$-invariant $R$-matrix. These representations can be used for the calculation of correlation functions in the models of physical interest.