The ground-state correlation functions of a one-dimensional homogeneous Bose
system described by the Lieb-Liniger Hamiltonian are investigated by using
exact quantum Monte Carlo techniques. This article is an extension of a
previous study published in Phys. Rev. A {\bf 68}, 031602 (2003). New results
on the local three-body correlator as a function of the interaction strength
are included and compared with the measured value from three-body loss
experiments. We also carry out a thorough study of the short- and long-range
behavior of the one-body density matrix.Comment: 10 pages, 8 figures, contribution to Cortona BEC JPB special issu