Bethe Ansatz solvability is forced when interaction propagation terminates finitely without boundaries, enabling factorization of global interactions into local components, and fails when boundaries produce irreducible data.
Feynman.Statistical mechanics
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Why the Bethe Ansatz Works: A Structural Explanation via Interaction Propagation
Bethe Ansatz solvability is forced when interaction propagation terminates finitely without boundaries, enabling factorization of global interactions into local components, and fails when boundaries produce irreducible data.