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arXiv:0903.2611 · Nuclear Physics B

XXZ scalar products and KP

Omar E. Foda, M. Wheeler, Mathew L. Zuparic

Published Apr 25, 2009• 22 citations
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Abstract

Using a Jacobi–Trudi-type identity, we show that the scalar product of a general state and a Bethe eigenstate in a finite-length XXZ spin-12 chain is (a restriction of) a KP τ function. This leads to a correspondence between the eigenstates and points on Sato's Grassmannian. Each of these points is a function of the rapidities of the corresponding eigenstate, the inhomogeneity variables of the spin chain and the crossing parameter.

DOI
10.1016/j.nuclphysb.2009.04.019

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