On the Riemann-Hilbert approach to the asymptotic analysis of the correlation functions of the Quantum Nonlinear Schrodinger equation. Non-free fermionic case

Abstract

We consider the local field dynamical temperature correlation function of the Quantum Nonlinear Schrodinger equation with the finite coupling constant. This correlation function admits a Fredholm determinant representation. The related operator-valued Riemann--Hilbert problem is used for analysing the leading term of the large time and long distance asymptotics of the correlation function.

70 pages, Latex, 4 figures

References in corpus (2)

• The Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation
• Normal Ordering in the Theory of Correlation Functions of Exactly Solvable Models

Cited by in corpus (9)

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• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
• On the origins of Riemann-Hilbert problems in mathematics
• Correlation lengths of the repulsive one-dimensional Bose gas
• Integral equations for the correlation functions of the quantum one-dimensional Bose gas
• Finite temperature single-particle Green's function in the Lieb-Liniger model
• Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition