Integral equations for the correlation functions of the quantum one-dimensional Bose gas

Abstract

The large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the asymptotics. These equations are closely related to the thermodynamic Bethe Ansatz equations. In the low temperature limit the solutions of these equations are given in terms of observables of the model.

22 pages, Latex, no figures

References in corpus (5)

• The New Identity for the Scattering Matrx of Exactly Solvable Models
• On the Riemann-Hilbert approach to the asymptotic analysis of the correlation functions of the Quantum Nonlinear Schrodinger equation. Non-free fermionic case
• The Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation
• A nonlinear indentity for the scattering phase of integrable models
• Normal Ordering in the Theory of Correlation Functions of Exactly Solvable Models

Cited by in corpus (6)

• Form factor approach to dynamical correlation functions in critical models
• Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
• On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin $1/2$ chain
• Correlation functions of one-dimensional bosons at low temperature
• Correlation lengths of the repulsive one-dimensional Bose gas
• Finite temperature single-particle Green's function in the Lieb-Liniger model