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Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory

Subir Ghoshal, Alexander Zamolodchikov

Abstract

We study integrals of motion and factorizable S-matrices in two-dimensional integrable field theory with boundary. We propose the ``boundary cross-unitarity equation'' which is the boundary analog of the cross-symmetry condition of the ``bulk'' S-matrix. We derive the boundary S-matrices for the Ising field theory with boundary magnetic field and for the boundary sine-Gordon model.

Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory

Abstract

We study integrals of motion and factorizable S-matrices in two-dimensional integrable field theory with boundary. We propose the ``boundary cross-unitarity equation'' which is the boundary analog of the cross-symmetry condition of the ``bulk'' S-matrix. We derive the boundary S-matrices for the Ising field theory with boundary magnetic field and for the boundary sine-Gordon model.

Paper Structure

This paper contains 202 equations.