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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 463
Large and small Density Approximations to the thermodynamic Bethe Ansatz A. Fring, C. Korff
We provide analytical solutions to the thermodynamic Bethe ansatz equations in the large and small density approximations. We extend resultspreviously obtained for leading order behaviour of the scaling function of affine Toda field theories related to simply laced Lie algebras to the non-simply laced case. The comparison with semi-classical methods shows perfect agreement for the simply laced case. We derive the Y-systems for affine Toda field theories with real coupling constantand employ them to improve the large density approximations. We test the quality of our analysis explicitly for the Sinh-Gordon model and the $(G_2^{(1)},D_4^{(3)})$-affine Toda field theory.
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