Thermodynamic Bethe ansatz for the AII sigma-models
arXiv:hep-th/0307009 · doi:10.1016/j.physletb.2003.08.044
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
References in corpus (5)
- Strings on pp-waves and massive two dimensional field theories
- Integrable aspects of the scaling q-state Potts models II: finite-size effects
- Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure
- Quantum integrability of sigma models on AII and CII symmetric spaces
- Test of asymptotic freedom and scaling hypothesis in the 2d O(3) sigma model