(Semi)classical analysis of sine-Gordon theory on a strip
Absztrakt:
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. (C) 2004 Elsevier B.V.
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