The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions

Abstract

We argue that the square of the norm of the Hubbard wave function is proportional to the determinant of a matrix, which is obtained by linearization of the Lieb-Wu equations around a solution. This means that in the vicinity of a solution the Lieb-Wu equations are non-degenerate, if the corresponding wave function is non-zero. We further derive an action that generates the Lieb-Wu equations and express our determinant formula for the square of the norm in terms of the Hessian determinant of this action.

11 pages, Latex

References in corpus (4)

• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Generating function of correlators in the sl_2 Gaudin model
• Temperature correlators in the one-dimensional Hubbard model in the strong coupling limit
• Algebraic and Analytic Properties of the One-Dimensional Hubbard Model

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