language: en

[INSTITUTE OF PHYSICS PUBLISHING]

[JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL]

[J. Phys. A: Math. Theor. 40 (2007) 1–17]

doi:10.1088/1751-8113/40/1/001

Low-temperature asymptotics of integrable systems in an external field

Michael Bortz
Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University,
Canberra ACT 0200, Australia
Received 23 October 2006, in final form 12 November 2006 Published 6 December 2006

[Online at stacks.iop.org/JPhysA/40/1]

Abstract An asymptotic low-temperature expansion is performed for an integrable bosonic lattice model and for the critical spin-1/2 Heisenberg chain in a magnetic field. The results apply to the integrable Bose gas as well. We also comment on a high-temperature expansion of the bosonic lattice model.

PACS numbers: 02.30.Ik, 05.30.−d, 05.30.Jp, 75.10.Pq

(Some figures in this article are in colour only in the electronic version)

1. Introduction