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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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22 pages, Latex, no figures

Scientific paper

10.1007/BF02557233

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.

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