1. Thermodynamic Bethe ansatz for the AII sigma-models
- Author
-
Andrei Babichenko and Roberto Tateo
- Subjects
Physics ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,Closed set ,Sigma model ,Scattering ,FOS: Physical sciences ,Bethe ansatz ,Nonlinear system ,Amplitude ,Vacuum energy ,High Energy Physics - Theory (hep-th) ,Lattice (order) ,Quantum mechanics ,Mathematical physics - Abstract
We derive thermodynamic Bethe ansatz equations describing the vacuum energy of the SU(2N)/Sp(N) nonlinear sigma model on a cylinder geometry. The starting points are the recently-proposed amplitudes for the scattering among the physical, massive excitations of the theory. The analysis fully confirms the correctness of the S-matrix. We also derive closed sets of functional relations for the pseudoenergies (Y-systems). These relations are shown to be the k-->infinity limit of the Sp(k+1)-related systems studied some years ago by Kuniba and Nakanishi in the framework of lattice models., 11 pages, 1 figure, Latex 2e, uses amssymb, graphicx. v2: typos corrected
- Published
- 2003