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

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

1998-11-13

arxiv.org/abs/math-ph/9811009v1

Physics

Mathematical Physics

70 pages, Latex, 4 figures

Scientific paper

10.1007/BF02557351

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.

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