Form factors of bound states in the XXZ chain

Abstract

This work focuses on the calculation of the large-volume behaviour of form factors of local operators in the XXZ spin-$1/2$ chain taken between the ground state and an excited state containing bound states. The analysis is rigorous and builds on various fine properties of the string solutions to the Bethe equations and certain technical hypotheses. These technical hypotheses are satisfied for a generic excited state. The results obtained in this work pave the way for extracting, starting from the first principles, the large-distance and long-time asymptotic behaviour of the XXZ chain's two-point functions just as the so-called edge singularities of their Fourier transforms.

81 pages, 2 figures

References in corpus (10)

• Universal theory of nonlinear Luttinger liquids
• Dynamic response of one-dimensional interacting fermions
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• Spectral function of spinless fermions on a one-dimensional lattice
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• On form-factor expansions for the XXZ chain in the massive regime
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Cited by in corpus (7)

• On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin $1/2$ chain
• Open XXZ chain and boundary modes at zero temperature
• A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
• Thermodynamic limit of the two-spinon form factors for the zero field XXX chain
• Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains