2003/07/31 by Andrei Babichenko, Roberto Tateo
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Amplitude #Ansatz #Bethe ansatz #Chemistry #Correctness #Integrable system #Lattice (music) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Photonic Systems #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Scattering amplitude #Sigma #Sigma model #Thermodynamic limit #hep-th
paper · pdf · doi:10.1016/j.physletb.2003.08.044
published as Phys.Lett. B573 (2003) 239-247 · 11 pages, 1 figure, Latex 2e, uses amssymb, graphicx. v2: typos corrected
openalex publication_date 2003/10/01 · arxiv created 2004/04/07 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.