Non-diagonal reflection for the non-critical XXZ model

Abstract

The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta )>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of ${\Gamma }_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.

8 pages Latex

References in corpus (18)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Boundary energy and boundary states in integrable quantum field theories
• Boundary K-matrices for the XYZ, XXZ AND XXX spin chains
• Functional relations and Bethe Ansatz for the XXZ chain
• XXZ chain with a boundary
• Deriving Boundary S Matrices
• On the second reference state and complete eigenstates of the open XXZ chain
• Fused integrable lattice models with quantum impurities and open boundaries
• Hecke algebraic approach to the reflection equation for spin chains
• Boundary scattering, symmetric spaces and the principal chiral model on the half-line
• Direct Calculation of the Boundary $S$ Matrix for the Open Heisenberg Chain
• Finite size effects in the XXZ and sine-Gordon models with two boundaries
• Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions
• NLIE for hole excited states in the sine-Gordon model with two boundaries
• Direct Calculation of Breather S Matrices
• Simplified Calculation of Boundary S Matrices
• A note on the boundary spin $s$ XXZ chain
• Boundary S Matrix for the XXZ Chain

Cited by in corpus (1)

• A note on a boundary sine-Gordon model at the free-Fermion point