Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain
نویسندگان
چکیده
The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of the QTM and derive the functional relations among them (T -system) and their certain combinations (Y -system). Their analytical property leads to the non-linear integral equations which describe the free energy and the correlation length at any finite temperatures. With regard to the free energy, they coincide with the TBA equation based on the string hypothesis. Int. J. Mod. Phys. A, Vol. 15, p. 2329 2346 (2000)
منابع مشابه
Thermodynamic Bethe ansatz equation for osp(1|2) integrable spin chain
The thermodynamic Bethe ansatz is applied to a quantum integrable spin chain associated with the Lie superalgebra osp(1|2). Using the string hypothesis, we derive a set of infinite number of non-linear integral equations (thermodynamic Bethe ansatz equation), which characterize the free energy. The low temperature limit of the free energy is also discussed. Modern Physics Letters A, in press. S...
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