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Large and small density approximations to the thermodynamic Bethe Ansatz

Fring, A., and Korff, C. (2000) Large and small density approximations to the thermodynamic Bethe Ansatz. Nuclear Physics B, 579 . pp. 617-631. ISSN 0550-3213 (doi:10.1016/S0550-3213(00)00250-9)

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Abstract

We provide analytical solutions to the thermodynamic Bethe ansatz equations in the large and small density approximations. We extend results previously 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 constant and 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.

Item Type:Article
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Korff, Dr Christian
Authors: Fring, A., and Korff, C.
Subjects:Q Science > QA Mathematics
Q Science > QC Physics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Nuclear Physics B
ISSN:0550-3213

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