Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model

Details Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model

2002-12-12

arxiv.org/abs/cond-mat/0212280v1

J.Phys.A36:1493,2003

Physics

Condensed Matter

Statistical Mechanics

24 pages, 4 figures, to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/36/5/321

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.

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