Correlation functions of the XYZ model with a boundary

1999/10/31 by Yuji Hara
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Boundary (topology) #Boundary value problem #Correlation function (quantum field theory) #Diagonal #Function (biology) #Quantum Information and Cryptography #Random Matrices and Applications #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/s0550-3213(99)00787-7

published as Nucl.Phys.B, 572 [FS]:574, 2000 · 35 pages, 12 figures

openalex publication_date 2000/04/01 · arxiv created 2000/05/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Integral formulae for the correlation functions of the XYZ model with a boundary are calculated by mapping the model to the bosonized boundary SOS model. The boundary K-matrix considered here coincides with the known general solution of the boundary Yang-Baxter equation. For the case of diagonal K-matrix, our formulae reproduce the one-point function previously obtained by solving boundary version of quantum Knizhnik-Zamolodchikov equation.

Citations

• An elliptic quantum algebra for \widehats1₂ 2
• Integrable XYZ Spin Chain with Boundaries
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. III. Eigenvectors of the transfer matrix and hamiltonian
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model
• Boundary conditions for integrable quantum systems