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

The large-time, long-distance behavior of the temperature correlation funct ions of a quantum one-dimensional Bose gas is considered. We obtain integra l equations, which are closely related to the thermodynamic Bethe ansatz eq uations and whose solutions describe asymptotic expressions. In the low-tem perature limit, the solutions of these equations are expressed through obse rvables of the model.