Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-17
Nucl.Phys. B702 (2004) 448-480
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, LaTeX file, 13 figures. Version 2: minor changes, references added
Scientific paper
10.1016/j.nuclphysb.2004.09.006
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.
Bajnok Zoltan
Palla Laszlo
Taka'cs Ga'bor
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