Form factors of the half-infinite XXZ spin chain with a triangular boundary
Exactly Solvable and Integrable Systems
2015-08-21 v1 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
The half-infinite XXZ spin chain with a triangular boundary is considered in the massive regime. Two integral representations of form factors of local operators are proposed using bosonization. Sufficient conditions such that the expressions for triangular boundary conditions coincide with those for diagonal boundary conditions are identified. The expressions are compared with known results upon specializations.Using the spin-reversal property which relates the Hamiltonian with upper and lower triangular boundary conditions, new identities between multiple integrals of infinite products are extracted.
Keywords
Cite
@article{arxiv.1404.0491,
title = {Form factors of the half-infinite XXZ spin chain with a triangular boundary},
author = {P. Baseilhac and T. Kojima},
journal= {arXiv preprint arXiv:1404.0491},
year = {2015}
}
Comments
LaTEX, 31 pages