2004/06/30 by Z. Bajnok, Zoltán Bajnok, L. Palla +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2004.09.006
published as Nucl.Phys. B702 (2004) 448-480 · 33 pages, LaTeX file, 13 figures. Version 2: minor changes, references added
arxiv created 2004/07/21 · openalex publication_date 2004/09/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Classical sine-Gordon theory on a strip with integrable boundary conditions is considered analyzing the static (ground state) solutions, their existence, energy and stability under small perturbations. The classical analogue of Bethe-Yang quantization conditions for the (linearized) first breather is derived, and the dynamics of the ground states is investigated as a function of the volume. The results are shown to be consistent with the expectations from the quantum theory, as treated in the perturbed conformal field theory framework using the truncated conformal space method and thermodynamic Bethe Ansatz. The asymptotic form of the finite volume corrections to the ground state energies is also derived, which must be regarded as the classical limit of some (as yet unknown) Luscher type formula.