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

A. R. Its (Department of Mathematical Sciences IUPUI , Indianapolis , USA) , N. A. Slavnov (Steklov Mathematical Institute , Moscow , Russia)

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classification 🧮 math-ph hep-thmath.MPnlin.SIsolv-int

keywords correlationfunctionequationnonlinearquantumschrodingeradmitsanalysing

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

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