Large and small Density Approximations to the thermodynamic Bethe Ansatz

Fring, A. & Korff, C. (2000). Large and small Density Approximations to the thermodynamic Bethe Ansatz. Nuclear Physics B, 579(3), pp. 617-631. doi: 10.1016/S0550-3213(00)00250-9

[img]
Preview
PDF
Download (262kB) | Preview

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
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/904

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics