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We consider the local field dynamical temperature correlation function of theQuantum Nonlinear Schrodinger equation with the finite coupling constant. Thiscorrelation function admits a Fredholm determinant representation. The relatedoperator-valued Riemann--Hilbert problem is used for analysing the leading termof the large time and long distance asymptotics of the correlation function.Comment: 70 pages, Latex, 4 figure

theoretical and mathematical physics

On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear schrödinger equation: Interacting fermion case