FORM FACTORS IN THE FINITE VOLUME

1998/12/25 by V. E. Korepin, N. A. Slavnov · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Waves and Solitons #math-ph #math.MP

paper · pdf · doi:10.1142/s0217979299002769

published as Int.J.Mod.Phys. B13 (1999) 2933-2942 · 16 pages, Latex, no figures

arxiv created 1998/12/25 · openalex publication_date 1999/10/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study exactly solvable models of quantum statistical mechanics. Our main example is the Quantum nonlinear Schrödinger equation. This model can be solved by algebraic Bethe Ansatz. We are interested in the expression for a form factor of the local field in the finite volume [Formula: see text]. We found a determinant representation for this form factor. We think that this is the universal feature: finite volume form factor of any exactly solvable model can be represented a determinant.

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• Form factor expansion for thermal correlators
• Form factors in finite volume I: Form factor bootstrap and truncated conformal space
• The thermodynamic limit of particle–hole form factors in the masslessXXZHeisenberg chain