Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas

Details Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas

2010-11-13

arxiv.org/abs/1011.3149v1

J.Stat.Mech.1103:P03018,2011

Physics

Mathematical Physics

40 pages, 4 figures

Scientific paper

10.1088/1742-5468/2011/03/P03018

We describe a Bethe ansatz based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density-density correlation function in the interacting one-dimensional Bose gas. We compute the correlation lengths in terms of solutions of non-linear integral equations of the thermodynamic Bethe ansatz type. Finally, we establish a connection between the results obtained in our approach with the correlation lengths stemming from the quantum transfer matrix method.

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