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Title: Variance reduction and cluster decomposition

Abstract

It is a common problem in lattice QCD calculation of the mass of the hadron with an annihilation channel that the signal falls off in time while the noise remains constant. In addition, the disconnected insertion calculation of the three-point function and the calculation of the neutron electric dipole moment with the θ term suffer from a noise problem due to the √V fluctuation. We identify these problems to have the same origin and the √V problem can be overcome by utilizing the cluster decomposition principle. We demonstrate this by considering the calculations of the glueball mass, the strangeness content in the nucleon, and the C P violation angle in the nucleon due to the θ term. It is found that for latticeThe systematic errors can be estimated from the Aks with physical sizes of 4.5–5.5 fm, the statistical errors of these quantities can be reduced by a factor of 3 to 4. aike information criterion. For the strangeness content, we find that the systematic error is of the same size as that of the statistical one when the cluster decomposition principle is utilized. This results in a 2 to 3 times reduction in the overall error.

Authors:
 [1];  [1];  [2]
  1. Univ. of Kentucky, Lexington, KY (United States). Dept. of Physics and Astronomy
  2. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of Kentucky, Lexington, KY (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1421301
Alternate Identifier(s):
OSTI ID: 1503880
Grant/Contract Number:  
SC0013065; AC05-00OR22725
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Liu, Keh-Fei, Liang, Jian, and Yang, Yi-Bo. Variance reduction and cluster decomposition. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.034507.
Liu, Keh-Fei, Liang, Jian, & Yang, Yi-Bo. Variance reduction and cluster decomposition. United States. doi:10.1103/physrevd.97.034507.
Liu, Keh-Fei, Liang, Jian, and Yang, Yi-Bo. Thu . "Variance reduction and cluster decomposition". United States. doi:10.1103/physrevd.97.034507.
@article{osti_1421301,
title = {Variance reduction and cluster decomposition},
author = {Liu, Keh-Fei and Liang, Jian and Yang, Yi-Bo},
abstractNote = {It is a common problem in lattice QCD calculation of the mass of the hadron with an annihilation channel that the signal falls off in time while the noise remains constant. In addition, the disconnected insertion calculation of the three-point function and the calculation of the neutron electric dipole moment with the θ term suffer from a noise problem due to the √V fluctuation. We identify these problems to have the same origin and the √V problem can be overcome by utilizing the cluster decomposition principle. We demonstrate this by considering the calculations of the glueball mass, the strangeness content in the nucleon, and the C P violation angle in the nucleon due to the θ term. It is found that for latticeThe systematic errors can be estimated from the Aks with physical sizes of 4.5–5.5 fm, the statistical errors of these quantities can be reduced by a factor of 3 to 4. aike information criterion. For the strangeness content, we find that the systematic error is of the same size as that of the statistical one when the cluster decomposition principle is utilized. This results in a 2 to 3 times reduction in the overall error.},
doi = {10.1103/physrevd.97.034507},
journal = {Physical Review D},
issn = {2470-0010},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/physrevd.97.034507

Citation Metrics:
Cited by: 4 works
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