Yang-Baxter equation and reflection equations in integrable models

P. P. Kulish

Published Jan 30, 2013• 39 citations

Abstract

The definitions of the main notions related to the quantum inverse scattering methods are given. The Yang-Baxter equation and reflection equations are derived as consistency conditions for the factorizable scattering on the whole line and on the half-line using the Zamolodchikov-Faddeev algebra. Due to the vertex-IRF model correspondence the face model analogue of the ZF-algebra and the IRF reflection equation are written down as well as the Z2-graded and colored algebra forms of the YBE and RE.

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