15 research outputs found
Form factors in SU(3)-invariant integrable models
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.Comment: 15 pages; typos correcte
Bethe vectors of GL(3)-invariant integrable models
We study SU(3)-invariant integrable models solvable by nested algebraic Bethe
ansatz. Different formulas are given for the Bethe vectors and the actions of
the generators of the Yangian Y(sl(3)) on Bethe vectors are considered. These
actions are relevant for the calculation of correlation functions and form
factors of local operators of the underlying quantum models.Comment: 22 pages, typos correcte
Highest coefficient of scalar products in SU(3)-invariant integrable models
We study SU(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.Comment: 17 page