Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions

Abstract

We find the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary Coleman-Thun mechanism plays an important role in the analysis. Two basic lemmas are introduced which should hold for any 1+1-dimensional boundary field theory, allowing the general method to be applied to other models.

26 pages, LaTeX2e, uses amsfonts.sty. V2: typos corrected, and equation numbering changed to agree with published version

References in corpus (4)

• TBA and TCSA with boundaries and excited states
• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• Exact two-particle Matrix Elements in S-Matrix Preserving Deformation of Integrable QFTs

Cited by in corpus (34)

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• The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
• The two-boundary sine-Gordon model
• Boundary state bootstrap and asymptotic overlaps in AdS/dCFT
• Coupling integrable field theories to mechanical systems at the boundary
• Finite size effects in quantum field theories with boundary from scattering data
• Quantum quench in the attractive regime of the sine-Gordon model
• Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
• Spectrum of boundary states in N=1 SUSY sine-Gordon theory
• Semiclassical analysis of defect sine-Gordon theory
• Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions
• On perturbative quantum field theory with boundary
• Boundary Resonances in S = 1/2 Antiferromagnetic Chains under a Staggered Field
• Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
• Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
• On the reflection of magnon bound states
• Issues on magnon reflection
• Breather boundary form factors in sine-Gordon theory
• Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
• (Semi)classical analysis of sine-Gordon theory on a strip
• Some semi-classical issues in boundary sine-Gordon model
• Integrable Quantum Field Theories, in the Bulk and with a Boundary
• N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• Local density of states of a quarter-filled one-dimensional Mott insulator with a boundary
• NLIE of Dirichlet sine-Gordon Model for Boundary Bound States
• Observation of spin-charge separation and boundary bound states via the local density of states
• N=1 Supersymmetric Boundary Bootstrap
• Boundary bootstrap principle in two-dimensional integrable quantum field theories
• Boundary scattering in the SU(N) principal chiral model on the half-line with conjugating boundary conditions
• Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approach
• Boundary effects in two-dimensional critical and off-critical systems