Correlation functions of one-dimensional bosons at low temperature

Understand

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.