The two-boundary sine-Gordon model

Abstract

We study in this paper the ground state energy of a free bosonic theory on a finite interval of length $R$ with either a pair of sine-Gordon type or a pair of Kondo type interactions at each boundary. This problem has potential applications in condensed matter (current through superconductor-Luttinger liquid-superconductor junctions) as well as in open string theory (tachyon condensation). While the application of Bethe ansatz techniques to this problem is in principle well known, considerable technical difficulties are encountered. These difficulties arise mainly from the way the bare couplings are encoded in the reflection matrices, and require complex analytic continuations, which we carry out in detail in a few cases.

34 pages (revtex), 8 figures

References in corpus (7)

• The Josephson current in Luttinger liquid-superconductor junctions
• Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
• Finite size effects in boundary sine-Gordon theory
• Thermodynamic Bethe Ansatz for boundary sine-Gordon model
• Lattice Approach to Excited TBA Boundary Flows: Tricritical Ising Model
• Boundary Quantum Field Theories with Infinite Resonance States
• Normalization of Off-shell Boundary State, g-function and Zeta Function Regularization

Cited by in corpus (30)

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• Effective Boundary Field Theory for a Josephson Junction Chain with a Weak Link
• Finite size effects in the XXZ and sine-Gordon models with two boundaries
• Quantum quench in the attractive regime of the sine-Gordon model
• Indirect forces between impurities in one-dimensional quantum liquids
• NLIE for hole excited states in the sine-Gordon model with two boundaries
• Boundary Field Theory Approach to the Renormalization of SQUID Devices
• One-dimensional transport of bosons between weakly linked reservoirs
• Sinh-Gordon Boundary TBA and Boundary Liouville Reflection Amplitude
• Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
• Thermodynamics and conformal properties of XXZ chains with alternating spins
• Quantum quenches in integrable systems: Constraints from factorisation
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• Thermodynamic Bethe Ansatz for boundary sine-Gordon model
• Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
• Quantum impurity approach to a coupled qubit problem
• Generalized q-Onsager Algebras and Dynamical K-matrices
• (Semi)classical analysis of sine-Gordon theory on a strip
• Charge accumulation on a Luttinger liquid
• Local density of states of a quarter-filled one-dimensional Mott insulator with a boundary
• Investigations in Two-Dimensional Quantum Field Theory by the Bootstrap and TCSA Methods
• Generic boundary scattering in the open XXZ chain
• Boundary S matrix of an open XXZ spin chain with nondiagonal boundary terms
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
• On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms
• NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models with two boundaries revisited
• A note on a boundary sine-Gordon model at the free-Fermion point