An Improved Estimator for the Correlation Function of 2D Nonlinear Sigma Models
High Energy Physics - Lattice
2010-12-01 v1
Abstract
I present a new improved estimator for the correlation function of 2D nonlinear sigma models. Numerical tests for the 2D XY model and the 2D O(3)-invariant vector model were performed. For small physical volume, i.e. a lattice size small compared to the to the bulk correlation length, a reduction of the statistical error of the finite system correlation length by a factor of up to 30 compared to the cluster-improved estimator was observed. This improvement allows for a very accurate determination of the running coupling proposed by M. L"uscher et al. for 2D O(N)-invariant vector models.
Cite
@article{arxiv.hep-lat/9408019,
title = {An Improved Estimator for the Correlation Function of 2D Nonlinear Sigma Models},
author = {Martin Hasenbusch},
journal= {arXiv preprint arXiv:hep-lat/9408019},
year = {2010}
}
Comments
20 pages, LaTeX + 2 ps figures, CERN-TH.7375/94