Abstract
It is shown using the exact Bethe-ansatz solution that for a multichain quantum antiferromagnetic spin S=1/2 system the excitation energy has a gap for the version of the model linearized about Fermi points and is gapless for its lattice analog. The result is generalized for multichain spin-S quantum antiferromagnet and for strongly correlated electron models with a “permutation” construction of the supersymmetric Hamiltonians.
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