We study the dynamic critical behavior of the worm algorithm for the two- and three-dimensional Ising models, by Monte Carlo simulation. The autocorrelation functions exhibit an unusual three-time-scale behavior. As a practical matter, the worm algorithm is slightly more efficient than Swendsen-Wang for simulating the two-point function of the three-dimensional Ising model.
@article{arxiv.cond-mat/0703787,
title = {Dynamic critical behavior of the worm algorithm for the Ising model},
author = {Youjin Deng and Timothy M. Garoni and Alan D. Sokal},
journal= {arXiv preprint arXiv:cond-mat/0703787},
year = {2008}
}