Form factors of the half-infinite XXZ spin chain with a triangular boundary

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.

LaTEX, 31 pages

References in corpus (8)

• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• Correlation functions of the open XXZ chain II
• The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in SU(3)-invariant models
• Algebraic Bethe ansatz for the six vertex model with upper triangular $K$-matrices

Cited by in corpus (8)

• Non-Abelian symmetries of the half-infinite XXZ spin chain
• The alternating central extension of the $q$-Onsager algebra
• The alternating presentation of $U_q(\widehat{g{l}_2})$ from Freidel-Maillet algebras
• Off-shell scalar products for the $XXZ$ spin chain with open boundaries
• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• A conjecture concerning the $q$-Onsager algebra
• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• Bethe States of the integrable spin-s chain with generic open boundaries