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arXiv · hep-th/9707074

From Fusion Hierarchy to Excited State TBA

G. Juettner·A. Kluemper·J. Suzuki
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Abstract

Functional relations among the fusion hierarchy of quantum transfer matrices give a novel derivation of the TBA equations, namely without string hypothesis. This is demonstrated for two important models of 1D highly correlated electron systems, the supersymmetric $t-J$ model and the supersymmetric extended Hubbard model. As a consequence, "the excited state TBA" equations, which characterize correlation lengths, are explicitly derived for the $t-J$ model. To the authors' knowledge, this is the first explicit derivation of excited state TBA equations for 1D lattice electron systems.

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G. Juettner, A. Kluemper, J. Suzuki. 1997-07-08. From Fusion Hierarchy to Excited State TBA. https://doi.org/10.1016/s0550-3213(97)00772-4

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