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

  title={Low-density limit of dynamical correlations in the Lieb–Liniger model},
  author={Etienne Granet},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • Etienne Granet
  • Published 21 October 2020
  • Mathematics, Physics
  • Journal of Physics A: Mathematical and Theoretical
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 D . They are valid for all space and time and any interaction strength c > 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. 
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