Boundary bound states and boundary bootstrap in the sine-Gordon model with Dirichlet boundary conditions.

Abstract

We present a complete study of boundary bound states and related boundary S-matrices for the sine-Gordon model with Dirichlet boundary conditions. Our approach is based partly on the bootstrap procedure, and partly on the explicit solution of the inhomogeneous XXZ model with boundary magnetic field and of the boundary Thirring model. We identify boundary bound states with new ``boundary strings'' in the Bethe ansatz. The boundary energy is also computed.

25 pages, harvmac macros Report USC-95-001.

References in corpus (8)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• XXZ chain with a boundary
• Bound State Boundary S-matrix of the sine-Gordon Model
• Deriving Boundary S Matrices
• The boundary sine-Gordon theory: classical and semi-classical analysis
• Lattice regularization of massive and massless integrable field theories
• Solving 1d plasmas and 2d boundary problems using Jack polynomials and functional relations

Cited by in corpus (56)

• Correlation functions of the open XXZ chain I
• Long coherence times for edge spins
• Correlation functions of the open XXZ chain II
• Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields
• Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions
• Spectrum of boundary states in the open Hubbard chain
• Conformal boundary conditions in the critical O(n) model and dilute loop models
• Finite size effects in boundary sine-Gordon theory
• The XX--model with boundaries. Part I: Diagonalization of the finite chain
• The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• Integrable impurities for an open fermion chain
• Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions
• NLIE for hole excited states in the sine-Gordon model with two boundaries
• Open XXZ chain and boundary modes at zero temperature
• Direct Calculation of Breather S Matrices
• Rise and fall of Yu-Shiba-Rusinov bound-states in charge conserving $s$-wave one-dimensional superconductors
• Exact solution of a non-Hermitian $\mathcal{PT}$-symmetric Heisenberg spin chain
• Surface Tension of a Metal-Electrolyte Boundary: Exactly Solvable Model
• Exact boundary free energy of the open XXZ chain with arbitrary boundary conditions
• Boundary Quantum Phase Transitions in the Spin $\frac{1}{2}$ Heisenberg Chain with Boundary Magnetic Fields
• Strong zero modes in integrable quantum circuits
• Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
• Exact solution for the Bariev model with boundary fields
• Bethe ansatz description of edge-localization in the open-boundary XXZ spin chain
• Exact Boundary Modes in an Interacting Quantum Wire
• Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
• Edge Modes in One Dimensional Topological Charge Conserving Spin-Triplet Superconductors: Exact Results from Bethe Ansatz
• Boundary bound states for the open Hubbard chain with boundary fields
• Boundary-Induced Topological and Mid-Gap States in Charge Conserving One-Dimensional Superconductors
• Magnetic susceptibility and low-temperature specific-heat of integrable 1-D Hubbard model under open-boundary conditions
• Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
• The XX-model with boundaries. Part III:Magnetization profiles and boundary bound states
• Ghost spins and novel quantum critical behavior in a spin chain with local bond-deformation
• N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• The Kondo effect in the quantum $XX$ spin chain
• Surface energy and elementary excitations of the XXZ spin chain with arbitrary boundary fields
• Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
• NLIE of Dirichlet sine-Gordon Model for Boundary Bound States
• Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality
• Observation of spin-charge separation and boundary bound states via the local density of states
• Finite-size correction and bulk hole-excitations for special case of an open XXZ chain with nondiagonal boundary terms at roots of unity
• Integrable open boundary conditions for the Bariev model of three coupled XY spin chains
• On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint
• Difference equations for correlation functions of Belavin's $Z_n$-symmetric model with boundary reflection
• Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approach
• Kondo effect in a quantum critical ferromagnet
• Pinning of slidding collective charge state in a 1D attractive fermion system
• Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain
• Surface energy of the one-dimensional supersymmetric $t-J$ model with general integrable boundary terms in the antiferromagnetic sector
• Spin fractionalization and zero modes in the spin-$\frac{1}{2}$ XXZ chain with boundary fields
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model