Finite size effects in the XXZ and sine-Gordon models with two boundaries
arXiv:hep-th/0309261 · doi:10.1016/j.nuclphysb.2003.11.012
Abstract
We compute the boundary energy and the Casimir energy for both the spin-1/2 XXZ quantum spin chain and (by means of the light-cone lattice construction) the massive sine-Gordon model with both left and right boundaries. We also derive a nonlinear integral equation for the ground state of the sine-Gordon model on a finite interval. These results, which are based on a recently-proposed Bethe Ansatz solution, are for general values of the bulk coupling constant, and for both diagonal and nondiagonal boundary interactions. However, the boundary parameters are restricted to obey one complex (two real) constraints.
23 pages, LaTeX; amssymb, amsmath, 5 figures
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- Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields
- Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity
- Bethe Ansatz for the Temperley-Lieb loop model with open boundaries
- Bethe Ansatz derived from the functional relations of the open XXZ chain for new special cases
- Conformal two-boundary loop model on the annulus
- Finite size effects in quantum field theories with boundary from scattering data
- Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model
- Exact finite size spectrum in super sine-Gordon model
- 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
- Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions
- Critical Boundary Sine-Gordon Revisited
- Thermodynamics and conformal properties of XXZ chains with alternating spins
- Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
- (Semi)classical analysis of sine-Gordon theory on a strip
- Boundary energy of the general open XXZ chain at roots of unity
- NLIE of Dirichlet sine-Gordon Model for Boundary Bound States
- Finite-size correction and bulk hole-excitations for special case of an open XXZ chain with nondiagonal boundary terms at roots of unity
- Generic boundary scattering in the open XXZ chain
- Non-diagonal reflection for the non-critical XXZ model
- 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
- Boundary S matrix of an open XXZ spin chain with nondiagonal 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