Low-density limit of dynamical correlations in the Lieb-Liniger model

We derive explicit expressions for dynamical correlations of the field and density operators in the Lieb-Liniger model, within an arbitrary eigenstate with a small particle density Dc > 0, and are the leading order of an expansion in D. This expansion is obtained by writing the correlation functions as sums over form factors when formally decomposed into partial fractions.

Automated summary

In the Lieb-Liniger model, explicit expressions for dynamical correlations of the field and density operators are derived within an arbitrary eigenstate with a small particle density Dc > 0, and at the leading order of an expansion in D. This expansion is obtained by expressing correlation functions as sums over form factors when decomposed into partial fractions.