Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model

TL;DR

This paper derives the coordinate space wave function for the inhomogeneous six-vertex model using the Algebraic Bethe Ansatz, confirming earlier results by Yang and Gaudin for one-dimensional fermions with delta-function interactions.

Contribution

It provides a new derivation of the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz, aligning with historical results.

Findings

Wave function derived from Algebraic Bethe Ansatz

Results agree with Yang and Gaudin's earlier work

Confirms the connection to one-dimensional fermions with delta interaction

Abstract

We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and Gaudin in the context of the problem of one-dimensional fermions with delta- function interaction.