Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
Subir Ghoshal, Alexander Zamolodchikov
TL;DR
This paper investigates boundary effects in two-dimensional integrable quantum field theories, deriving boundary S-matrices and proposing a boundary cross-unitarity equation to extend bulk S-matrix concepts.
Contribution
It introduces the boundary cross-unitarity equation and derives explicit boundary S-matrices for the Ising and sine-Gordon models.
Findings
Derived boundary S-matrices for specific models
Proposed the boundary cross-unitarity equation
Extended integrability concepts to boundary theories
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.
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