On correlation functions of integrable models associated to the six-vertex R-matrix

Abstract

We derive an analog of the master equation obtained recently for correlation functions of the XXZ chain for a wide class of quantum integrable systems described by the R-matrix of the six-vertex model, including in particular continuum models. This generalized master equation allows us to obtain multiple integral representations for the correlation functions of these models. We apply this method to derive the density-density correlation functions of the quantum non-linear Schrodinger model.

21 pages

References in corpus (7)

• 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
• On the quantum inverse scattering problem
• Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
• Master equation for spin-spin correlation functions of the XXZ chain
• Dynamical correlation functions of the XXZ spin-1/2 chain
• Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution

Cited by in corpus (29)

• Form factor approach to dynamical correlation functions in critical models
• Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
• Vertex models, TASEP and Grothendieck polynomials
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
• GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
• Scalar products in generalized models with SU(3)-symmetry
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors
• An Izergin-Korepin procedure for calculating scalar products in six-vertex models
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
• Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in SU(3)-invariant models
• Correlation functions of one-dimensional bosons at low temperature
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Scalar products in models with GL(3) trigonometric R-matrix. Highest coefficient
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
• Correlation functions by Separation of Variables: the XXX spin chain
• Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
• Free fermions in classical and quantum integrable models
• All correlation functions of the open XXX spin 1/2 quantum chains for unparallel boundary magnetic fields with one constraint
• The LeClair-Mussardo series and nested Bethe Ansatz
• Fine structure of the asymptotic expansion of cyclic integrals
• The monodromy matrix in the F-basis for arbitrary six-vertex models
• Asymptotic analysis of the form-factors of quantum spin chains
• On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint
• The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraint
• Master equation for correlation functions in algebra symmetry $\mathfrak{gl}(2|1)$ related models