Dual Separated Variables and Scalar Products
High Energy Physics - Theory
2020-09-24 v2 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Separation of variables (SoV) is an extremely efficient and elegant technique for analysing physical systems but its application to integrable spin chains was limited until recently to the simplest su(2) cases. In this paper we continue developing the SoV program for higher-rank spin chains and demonstrate how to derive the measure for the su(3) case. Our results are a natural consequence of factorisability of the wave function and functional orthogonality relations following from the interplay between Baxter equations for Q-functions and their dual.
Cite
@article{arxiv.1910.13442,
title = {Dual Separated Variables and Scalar Products},
author = {Nikolay Gromov and Fedor Levkovich-Maslyuk and Paul Ryan and Dmytro Volin},
journal= {arXiv preprint arXiv:1910.13442},
year = {2020}
}
Comments
6 pages; v2: typos fixed, published version