(Semi)classical analysis of sine-Gordon theory on a strip
arXiv:hep-th/0406149 · doi:10.1016/j.nuclphysb.2004.09.006
Abstract
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.
arXiv comment33 pages, LaTeX file, 13 figures. Version 2: minor changes, references added
References in corpus (17)
- Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
- Boundary energy and boundary states in integrable quantum field theories
- Bound State Boundary S-matrix of the sine-Gordon Model
- The Josephson current in Luttinger liquid-superconductor junctions
- From Defects to Boundaries
- Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions
- Finite size effects in boundary sine-Gordon theory
- The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
- The two-boundary sine-Gordon model
- Finite size effects in the XXZ and sine-Gordon models with two boundaries
- Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
- Semiclassical Scaling Functions of Sine--Gordon Model
- Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions
- Thermodynamic Bethe Ansatz for boundary sine-Gordon model
- Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
- Some semi-classical issues in boundary sine-Gordon model
- Boundary massive sine-Gordon model at the free Fermi limit and RG flow of Casimir energy
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- Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors
- Finite size effects in quantum field theories with boundary from scattering data
- Boundary one-point function, Casimir energy and boundary state formalism in D+1 dimensional QFT
- Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
- NLIE of Dirichlet sine-Gordon Model for Boundary Bound States
- Boundary Giant Magnons and Giant Gravitons