Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field

Abstract

Using the algebraic Bethe ansatz method, and the solution of the quantum inverse scattering problem for local spins, we obtain multiple integral representations of the $n$-point correlation functions of the XXZ Heisenberg spin-$\frac{1}{2}$ chain in a constant magnetic field. For zero magnetic field, this result agrees, in both the massless and massive (anti-ferromagnetic) regimes, with the one obtained from the q-deformed KZ equations (massless regime) and the representation theory of the quantum affine algebra ${\mathcal{U}}_q({\widehat{sl}}_2)$ together with the corner transfer matrix approach (massive regime).

Latex2e, 26 pages

References in corpus (12)

• Quantum Inverse Scattering Method and Correlation Functions
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Correlation Functions of the XXZ model for $\Delta <-1$
• QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
• Temperature Correlations of Quantum Spins
• Correlation Function of the Spin-1/2 XXX Antiferromagnet
• Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets
• Difference equations for the correlation functions of the eight vertex model
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