Zengo Tsuboi
Published 2002-12-12Version 1
We derive traditional thermodynamic Bethe ansatz (TBA) equations for the sl(r+1) Uimin-Sutherland model from the T-system of the quantum transfer matrix. These TBA equations are identical to the ones from the string hypothesis. Next we derive a new family of nonlinear integral equations (NLIE). In particular, a subset of these NLIE forms a system of NLIE which contains only a finite number of unknown functions. For r=1, this subset of NLIE reduces to Takahashi's NLIE for the XXX spin chain. A relation between the traditional TBA equations and our new NLIE is clarified. Based on our new NLIE, we also calculate the high temperature expansion of the free energy.
Comments: 24 pages, 4 figures, to appear in J. Phys. A: Math. Gen
Journal: J.Phys.A36:1493,2003
Nonlinear Integral Equations and high temperature expansion for the $U_{q}(\hat{sl}(r+1|s+1))$ Perk-Schultz Model
Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model
Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model
