Off-shell scalar products for the $XXZ$ spin chain with open boundaries

Abstract

In this work we study scalar products of Bethe vectors associated with the $XXZ$ spin chain with open boundary conditions. The scalar products are obtained as solutions of a system of functional equations. The description of scalar products through functional relations follows from a particular map having the reflection algebra as its domain and a function space as the codomain. Within this approach we find a multiple contour integral representation for the scalar products in which the homogeneous limit can be obtained trivially.

33 pages. v2: figure and references added, presentation slightly modified

References in corpus (4)

• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• Correlation functions of the open XXZ chain I
• Correlation functions of the open XXZ chain II
• Partial differential equations from integrable vertex models

Cited by in corpus (1)

• Quantum-classical duality for Gaudin magnets with boundary