Correlation functions of one-dimensional bosons at low temperature

Details Correlation functions of one-dimensional bosons at low temperature Correlation functions of one-dimensional bosons at low temperature

2011-02-09

arxiv.org/abs/1102.1858v1

J.Stat.Mech.1103:P03019,2011

Physics

Mathematical Physics

27 pages

Scientific paper

10.1088/1742-5468/2011/03/P03019

We consider the low-temperature limit of the long-distance asymptotic behavior of the finite temperature density-density correlation function in the one-dimensional Bose gas derived recently in the algebraic Bethe ansatz framework. Our results confirm the predictions based on the Luttinger liquid and conformal field theory approaches. We also demonstrate that the amplitudes arising in this asymptotic expansion at low-temperature coincide with the amplitudes associated with the so-called critical form factors.

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