Quantum Projectors and Local Operators in Lattice Integrable Models

Details Quantum Projectors and Local Operators in Lattice Integrable Models Quantum Projectors and Local Operators in Lattice Integrable Models

2003-04-24

arxiv.org/abs/hep-th/0304205v1

J.Phys.A37:441-452,2004

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 15 pages, no figure

Scientific paper

10.1088/0305-4470/37/2/013

In the framework of the quantum inverse scattering method, we consider a problem of constructing local operators for two-dimensional quantum integrable models, especially for the lattice versions of the nonlinear Schrodinger and sine-Gordon models. We show that a certain class of local operators can be constructed from the matrix elements of the monodromy matrix in a simple way. They are closely related to the quantum projectors and have nice commutation relations with the half of the matrix elements of the elementary monodromy matrix. The form factors of these operators can be calculated by using the standard algebraic Bethe ansatz techniques.

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