Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain

Details Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain

1999-12-17

arxiv.org/abs/math-ph/9912014v3

Int.J.Mod.Phys. A15 (2000) 2329-2346

Physics

Mathematical Physics

26 pages, 6 Postscript figures. A phase factor in Eq. (5.3) is corrected

Scientific paper

10.1142/S0217751X00000963

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 (math-ph/9911010, Mod. Phys. Lett. A, 14, 2427 (1999)) based on the string hypothesis.

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