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

The large-time, long-distance behavior of the temperature correlation functions of a quantum one-dimensional Bose gas is considered. We obtain integral equations, which are closely related to the thermodynamic Bethe ansatz equations and whose solutions describe asymptotic expressions. In the low-temperature limit, the solutions of these equations are expressed through observables of the model. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 121, No. 1, pp. 117–138, October, 1999.