Scalar product of Bethe vectors from functional equations

2012/11/30 by W. Galléas, Galleas, W.
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1211.7342

Abstract

In this work the scalar product of Bethe vectors for the six-vertex model is studied by means of functional equations. The scalar products are shown to obey a system of functional equations originated from the Yang-Baxter algebra and its solution is given as a multiple contour integral.

Related

• Multiple integral formula for the off-shell six vertex scalar product
• New approach to scalar products of Bethe vectors
• Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz
• New Developments in the Eight Vertex Model
• Completeness of the Six Vertex Model with Reflecting Boundary Conditions