XXZ scalar products, Miwa variables and discrete KP
Mathematical Physics
2017-08-23 v2 math.MP
Abstract
We revisit the quantum/classical integrable model correspondence in the context of inhomogeneous finite length XXZ spin-1/2 chains with periodic boundary conditions and show that the Bethe scalar product of an arbitrary state and a Bethe eigenstate is a discrete KP tau-function. The continuous Miwa variables of discrete KP are the rapidities of the arbitrary state.
Keywords
Cite
@article{arxiv.1003.2524,
title = {XXZ scalar products, Miwa variables and discrete KP},
author = {O. Foda and G. Schrader},
journal= {arXiv preprint arXiv:1003.2524},
year = {2017}
}
Comments
20 pages, LaTeX-2e, using documentclass ws-procs9x6. A slightly improved version. Better exposition. To appear in Festschrift in Honour of Professor Tetsuji Miwa's 60th birthday