We investigate the critical slowing down of the topological modes using local updating algorithms in lattice 2-d CP^(N-1) models. We show that the topological modes experience a critical slowing down that is much more severe than the one of the quasi-Gaussian modes relevant to the magnetic susceptibility, which is characterized by τmag∼ξz with z≈2. We argue that this may be a general feature of Monte Carlo simulations of lattice theories with non-trivial topological properties, such as QCD, as also suggested by recent Monte Carlo simulations of 4-d SU(N) lattice gauge theories.
@article{arxiv.hep-lat/0403001,
title = {Critical slowing down of topological modes},
author = {Luigi Del Debbio and Gian Mario Manca and Ettore Vicari},
journal= {arXiv preprint arXiv:hep-lat/0403001},
year = {2009}
}