From Fusion Hierarchy to Excited State TBA

Details From Fusion Hierarchy to Excited State TBA From Fusion Hierarchy to Excited State TBA

1997-07-08

arxiv.org/abs/hep-th/9707074v1

Nucl.Phys.B512:581-600,1998

Physics

High Energy Physics

High Energy Physics - Theory

Plain Tex, 17pages, 2 postscript figures will be sent upon request

Scientific paper

10.1016/S0550-3213(97)00772-4

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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