Thermodynamics of the quantum $su(1,1)$ Landau-Lifshitz model

Details Thermodynamics of the quantum $su(1,1)$ Landau-Lifshitz model Thermodynamics of the quantum $su(1,1)$ Landau-Lifshitz model

2010-01-29

arxiv.org/abs/1001.5450v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

We present thermodynamics of the quantum su(1,1) Landau-Lifshitz model, following our earlier exposition [J. Math. Phys. 50, 103518 (2009)] of the quantum integrability of the theory, which is based on construction of self-adjoint extensions, leading to a regularized quantum Hamiltonian for an arbitrary n-particle sector. Starting from general discontinuity properties of the functions used to construct the self-adjoint extensions, we derive the thermodynamic Bethe Ansatz equations. We show that due to non-symmetric and singular kernel, the self-consistency implies that only negative chemical potential values are allowed, which leads to the conclusion that, unlike its su(2) counterpart, the su(1,1) LL theory at T=0 has no instabilities.

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