Thermodynamic limit of the two-spinon form factors for the zero field XXX chain
arXiv:1903.09058 · doi:10.21468/SciPostPhys.6.6.076
Abstract
In this paper we propose a method based on the algebraic Bethe ansatz leading to explicit results for the form factors of quantum spin chains in the thermodynamic limit. Starting from the determinant representations we retrieve in particular the formula for the two-spinon form factors for the isotropic XXX Heisenberg chain obtained initially in the framework of the -vertex operator approach.
arXiv comment29 pages, Submission to SciPost, v2: revised version, several references added
References in corpus (28)
- Form factors of the XXZ Heisenberg spin-1/2 finite chain
- Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
- Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
- Correlation Functions of the XXZ model for
- QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
- Computation of dynamical correlation functions of Heisenberg chains in a field
- On the quantum inverse scattering problem
- Integral representations for correlation functions of the XXZ chain at finite temperature
- Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
- Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
- Form factor approach to dynamical correlation functions in critical models
- The 4-spinon dynamical structure factor of the Heisenberg chain
- Dynamical structure factor at small q for the XXZ spin-1/2 chain
- On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain
- Form factor approach to the asymptotic behavior of correlation functions in critical models
- Exact two-spinon dynamical correlation function of the Heisenberg model
- Thermodynamic limit of particle-hole form factors in the massless XXZ Heisenberg chain
- Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions
- Long-distance asymptotic behaviour of multi-point correlation functions in massless quantum models
- Fermionic structure in the sine-Gordon model: form factors and null-vectors
- Exact four-spinon dynamical correlation function of the Heisenberg model
- Partial domain wall partition functions
- On determinant representations of scalar products and form factors in the SoV approach: the XXX case
- Free field construction for the eight-vertex model: representation for form factors
- On form-factor expansions for the XXZ chain in the massive regime
- Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
- Variations on Slavnov's scalar product
- Form factors of bound states in the XXZ chain
Cited by in corpus (4)
- Exact real-time longitudinal correlation functions of the massive XXZ chain
- A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime
- Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains
- Boundary overlap in the open XXZ spin chain