An Improved Estimator for the Correlation Function of 2D Nonlinear Sigma Models

Details An Improved Estimator for the Correlation Function of 2D Nonlinear Sigma Models An Improved Estimator for the Correlation Function of 2D Nonlinear Sigma Models

1994-08-25

arxiv.org/abs/hep-lat/9408019v1

Nucl.Phys.Proc.Suppl.42:764-766,1995

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, LaTeX + 2 ps figures, CERN-TH.7375/94

Scientific paper

10.1016/0920-5632(95)00375-J

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.

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