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An improved estimator for the correlation function of 2D nonlinear sigma models

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 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. Luescher et al. for 2D O(N)-invariant vector models. ((orig.)).
Authors:
Hasenbusch, M [1] 
  1. Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics (DAMTP)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064362; EDB-95:132384; SN: 95001458377
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; CORRELATION FUNCTIONS; SIGMA MODEL; ACTION INTEGRAL; BOUNDARY CONDITIONS; COUPLING CONSTANTS; CRYSTAL MODELS; ENERGY DEPENDENCE; ERRORS; NONLINEAR PROBLEMS; O GROUPS; STATISTICS; TWO-DIMENSIONAL CALCULATIONS; VECTORS
OSTI ID:
101056
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF405064362
Submitting Site:
NLN
Size:
pp. 764-766
Announcement Date:
Oct 05, 1995

Citation Formats

Hasenbusch, M. An improved estimator for the correlation function of 2D nonlinear sigma models. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00375-J.
Hasenbusch, M. An improved estimator for the correlation function of 2D nonlinear sigma models. Netherlands. doi:10.1016/0920-5632(95)00375-J.
Hasenbusch, M. 1995. "An improved estimator for the correlation function of 2D nonlinear sigma models." Netherlands. doi:10.1016/0920-5632(95)00375-J. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00375-J.
@misc{etde_101056,
title = {An improved estimator for the correlation function of 2D nonlinear sigma models}
author = {Hasenbusch, M}
abstractNote = {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 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. Luescher et al. for 2D O(N)-invariant vector models. ((orig.)).}
doi = {10.1016/0920-5632(95)00375-J}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}