6533b86dfe1ef96bd12c9dc2

RESEARCH PRODUCT

Yang-Baxter equation and reflection equations in integrable models

P. P. Kulish

subject

PhysicsHigh Energy Physics::TheoryReflection formulaReflection (mathematics)Integrable systemScatteringYang–Baxter equationMathematics::Quantum AlgebraInverse scattering problemLine (geometry)QuantumMathematical physics

description

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 $Z_2$-graded and colored algebra forms of the YBE and RE.

https://doi.org/10.1007/bfb0102555